All perfect praise be to Allah, The Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad is His slave and Messenger.
You are affected with Waswaas (obsessive whispers) in this regard, and you must get rid of it because being carried away with it leads to great evil.
You should know – may Allah guide you and protect you – that your parents are Muslims, praise be to Allah. You are not permitted at all to believe that they are disbelievers; rather, this is a sin in itself because accusing a Muslim of being Kaafir (disbeliever) is a grave matter. Please refer to fatwas 87963 and 8106. So you should not think about this matter because this is from the whispers and plots of the devil, and you should believe in the principle that your parents are Muslims and never believe otherwise.
You should endeavor to be kind and dutiful to your parents and treat them kindly. It is impermissible for them to watch TV dramas that include what is forbidden, so you should advise them in this regard in a very kind and gentle manner.
You should also advise your father kindly and gently regarding the Fajr prayer so that he would perform it on time. If he misses the prayer because of being overtaken by sleep, then he is not sinful and should pray whenever he wakes up.
Allah knows best.