I was born a Muslim, became a disbeliever and repented back to Islam. Are my tattoos and other acts going to be forgiven?
Of course yes, Allah said in The Holy Quraan
Say, "O My servants who have transgressed against themselves [by sinning], do not despair of the mercy of Allah . Indeed, Allah forgives all sins. Indeed, it is He who is the Forgiving, the Merciful (53) And return [in repentance] to your Lord and submit to Him before the punishment comes upon you; then you will not be helped (54) - Surat Az-Zumar 39:53-54