We would require very strong evidence to forbid you from reciting the quran in the night in a dark room. BUT if your parents have a problem with the dark room, you can always light it up more so that their hearts are at ease.
Attacks from Satan
If you do good, they will distract and attack you anyways. I would strongly disagree with anyone who restricts any good with the fear of being attacked by the satan or jinns.
How to protect yourself
Recite surah falaq in which we ask Allah protection from the "mischief of the darkness"
Recite surah naas in which we ask Allah protection from the "retreating whisperer....from among men and jinn"
Both these suras will Insha Allah protect you...
Some hadith to support night ibaadaah
Bukhari Volume 2, Book 21, Number 246 :
Narrated by Abu Huraira
Allah's Apostle (p.b.u.h) said, "Our Lord, the Blessed, the Superior, comes every night down on the nearest Heaven to us when the last third of the night remains, saying: "Is there anyone to invoke Me, so that I may respond to invocation? Is there anyone to ask Me, so that I may grant him his request? Is there anyone seeking My forgiveness, so that I may forgive him?"
Some personal advice: Get some sleep too....
If you have other commitments, please do not over pressure yourself . Even the Prophet(pbuh) used to sleep.
PLS Remember ... I am not stopping you to pray the full night, rather only advising.
Bukhari Volume 2, Book 21, Number 247 :
Narrated by Al-Aswad
I asked 'Aisha "How is the night prayer of the Prophet?" She replied, "He used to sleep early at night, and get up in its last part to pray, and then return to his bed. When the Muadh-dhin pronounced the Adhan, he would get up. If he was in need of a bath he would take it; otherwise he would perform ablution and then go out (for the prayer)."
The Prophet(pbuh) would "sleep early", so he would balance his sleep.