All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
If your aunt was very sick and she was unable to observe the fast because of having a sound reason until she died, then it is not an obligation to make up these days on her behalf. However, if she was able to make up those days but she failed to do so until she died, then it was an obligation on her to make up those days and according to the most preponderant opinion of the scholars it is desirable for her guardians to fast these days on her behalf.
For more benefit, please refer to Fatwa 83336.
In any case, since you fasted those days, then your fasting is correct and its reward will reach your aunt, Allaah willing. Therefore, if she was obliged to make up those days, she now has become acquitted from sin because you have fasted on her behalf. However, if she was not obliged to make up those days, then the reward of this fasting will reach her, Allaah willing, and it will be on the record of her good deeds because according to the preponderant opinion of the scholars the reward of good deeds that are gifted for the dead reaches them and they benefit from it.
As regards your watching T.V., you will be sinful for watching what is forbidden in Sharee’ah, like listening to music and looking at the uncovered ‘Awrah of people and so forth. However, this does not have any effect on the validity of fasting. Therefore, you should repent to Allaah for watching what does not please him, and you should know that he is seeing you and watching you.
For more benefit, please refer to Fatwa 87864 and Fatwa 81723.
Allaah Knows best.