I have been involved with rescue/adoption of dogs, so this thread made me think.

You seem to have a good list of questions to ask.

I think question 4 should also be followed with
4A. How much responsibility will your child be
given in the care of the hamster?
you may also want to ask about adult supervision during child and hamster interaction for a month or so


I would rephrase question 5, caring for any pet should not be considered "spare time", how about
5. How much time do you have to care for a hamster?
Almost forgot, the great dane rescue group I help with, asks to be given names and numbers of vets used, to check references to see if they are responsible pet owners.