Do you think it's wrong for me to  refuse to watch over my dad's (and childhood) dog during his vacation?
Why don't you want to watch your childhood dog?
No it is not, I'm so sick of the dog, I never want to see it again.
It comes off as uncaring to say that you never want to see the dog again. What makes you feel that way?
Uh my dad was creepy
Taking care of a pet will require you to be responsible and if you feel like this is something you cannot do for your dad at this time, it is okay.