Are you both still good friends? If not really then, yes let her pet **** everywhere. and when she comes back asked what happen, I let your pet do what you did to my heart.
No. she is using you.
If the break up was clean and you don't mind. Go for it.
If she is still nice it would be ok. It is hard to find good friends. Many relationships have their ups and downs. You may need her to do something for you one day as well.
Are you still friends? Do you like her pet? Then maybe... But don't expect anything afterwards. Is she using you, yes. She seems to still trust you though. Who knows what will happen....
Hell no! She's your ex. You don't owe her a damn thing. She's just using you; like all females end up doing. They're real good at that sort of thing.
If your still friends and she does favours for you then I don't see why not