Ishaq Kindy was an Arab philosopher at the time of Imam Askari --peace be upon him, he wrote a book under the title of Paradoxes in Quran. Once one of his students came to Imam Askari --peace be upon him-- and Imam complained why there is no one among the students of Ishaq kindy who would answer back his tutor's propositions. The student answered "because he is our tutor and we cannot oppose his statements". Imam asked then if they can induce a meaning instead to their tutor? The student answered "yes"! So Imam taught the student to first get close to his tutor by being kind and respectful, then in a good opportunity to ask him a question, that if it is possible that someone says something and the hearer understand something else? Imam told the student that his tutor will answer: "yes it is possible", then he can further continue asking about Quran if it is possible that God has intended meanings different than those the tutor has understood? And that as Ishaq was a smart man he would get the point. This was done and Ishaq understood his fault and finally he burned his book in fire. See here for references.
I took a glance over the page you have linked in your question, some of them were more than obvious to be wrong and fallacy but some needs thinking more deeply and there is always a probability that none of us in Islam.SE and even many scholars at the time cannot answer a question, but of course that's no proof for the question having no answer! I only grab your attention to the very fact that the Experimental Sciences --including physics, chemistry, biology and most others-- cannot prove any theory to be right but only those things that they have proved based on thought experiments, which are very few in numbers and negligible in overall. That is because of the very logical statement that a theory cannot be proved even though infinitely many examples are found to approve the idea, but the idea can be rejected simply through one singe contradiction. Also note that the uncertainty principle --which is not correct from the Islamic point of view in general but only about the sensation based experiments-- prevents the scientists from confirming that a discovered contradicting example is indeed a contradiction! Thus, the contradiction will be certainly confirmed only if it is intellectual, again like in thought experiments.
Therefore, as a general answer to a general question we do believe that there is no mistake in Quran as it is a book revealed by the only God, the one who has created you and your parents from whom you have started to learn, the one who has created all those scientists who have raised such issues as the mistakes of God (funny but sad), the one who has created the science itself that if scientists are scientists for their discovering the fact about stars and galaxies and wild life and physics of body and fluid and electromagnetism Allah is the one who has created all those facts, if the scientists are trying to dead to travel to Mars Allah has created Mars billions of years before and has maintained it till now and after. To Muslims that's only funny for a 2 years old ignorant child to write a lecture about the mistakes in lectures of Einstein, and indeed the difference between Allah and His creatures is infinitely more than the difference between Einstein and such a kiddy. I hope you will see the point I am putting forward and understand that I am not going to be offensive. The creatures of Allah understand something that Allah has missed? That's impossible, even the scientists' thought is created by Allah:
لا إِلـٰهَ إِلّا هُوَ الحَىُّ القَيّومُ ۚ لا تَأخُذُهُ سِنَةٌ وَلا
نَومٌ ۚ لَهُ ما فِى السَّمـٰوٰتِ وَما فِى الأَرضِ ۗ مَن ذَا الَّذى
يَشفَعُ عِندَهُ إِلّا بِإِذنِهِ ۚ يَعلَمُ ما بَينَ أَيديهِم وَما
خَلفَهُم ۖ وَلا يُحيطونَ بِشَىءٍ مِن عِلمِهِ إِلّا بِما شاءَ ۚ
وَسِعَ كُرسِيُّهُ السَّمـٰوٰتِ وَالأَرضَ ۖ وَلا يَـٔودُهُ حِفظُهُما ۚ
وَهُوَ العَلِىُّ العَظيمُ
Allah - there is no deity except Him, the Ever-Living, the Sustainer
of [all] existence. Neither drowsiness overtakes Him nor sleep. To Him
belongs whatever is in the heavens and whatever is on the earth. Who
is it that can intercede with Him except by His permission? He knows
what is [presently] before them and what will be after them, and
they encompass not a thing of His knowledge except for what He
wills. His Kursi extends over the heavens and the earth, and their
preservation tires Him not. And He is the Most High, the Most Great.
[2:255]
That scientists find apparent mistakes in Quran is because Quran needs describer, and this need is introduced in [3:7], since Allah has intended to make some points ambiguous for all but only those who refer to those firmly grounded in knowledge, and the followers of these describers are the only ones who are to be guided. Also note that the holy prophet --peace be upon him and his family-- remarked I leave two precious things for you behind me, the book of Allah and my household, whoever that follow them will never stray, until they come back to me at the pond. Also note that Quran is a book for guidance but some believe in it and will be guided and some deny it and will be strayed:
... وَلَيَزيدَنَّ كَثيرًا مِنهُم ما أُنزِلَ إِلَيكَ مِن رَبِّكَ
طُغيـٰنًا وَكُفرًا ...
... And that which has been revealed to you from your Lord will surely
increase many of them in transgression and disbelief. ... [5:68]
this doesn't include all the scientists but only those who try to find mistakes in Quran. People are more than welcome to ask about anything that they don't understand from Quran, things that seems odd to them and cannot understand how can it be that it's not wrong, but that Quran is right is something obvious to every Muslim and this is not proved through science to be rejected through science.
At the end, let me answer only one question in that list, the one discussing Adam --peace be upon him-- being created from clay:
The scientific hypothesis postulates that clay merely 'match-makes'
RNA and membrane vesicles - and therefore does not form a building
block. This is contrary to the Islamic faith which postulates that
human beings were created from clay, implying clay was a building
block.
We created man from sounding clay, from mud moulded into shape; Qur'an
15:26
To Him is due the primal origin of the heavens and the earth:
When He decreeth a matter, He saith to it: "Be," and it is. Qur'an
2:117
Indeed let me add that not only Adam --peace be upon him-- was created from clay but also you and me are still beings created from clay. According to the today science our physical body is refreshing itself every few years, we wash out the dead cells from our skins at bathroom and new cells come to live day by the day. Almost all the cells in our bodies die and new ones replace the older ones, you don't agree? Where such new cells come from? Isn't it right to conclude from what we eat and drink? If yes, then what do we eat? Vegetables and fruits and similar to those beside meat of the animals which eat again from vegetables and fruits, and etc. . Don't you see all these foods are originated from the clay? Isn't water a best solvent that can carry quite many minerals with it? Don't we eat clay in many different deformed forms for our body to refresh itself? If someone dies doesn't his body again change to clay? Isn't our body made of clay that scientists ever raise a question about it being or not being made of clay? Also note that all the limbs of a complete man forms in the womb of his mother, where he is created from what his mother eats and drinks and again you can study how clay with different percentages of minerals are used in a period of nearly nine months for a complete body to form.
