Can I bring my pet inside the museum, she is a service companion small dog that has her own purse

Only service dogs may enter the museum. Pets and emotional support animals do not qualify as service dogs, and therefore, are not allowed inside the premises.

Yes

Why does your dog have a purse?!?!

Usually service dog are the exception. But I would call and find out

I suppose you can but check for permissions!!

Might want to call and ask