No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
I believe that would be up to the trustee. Seems like the things you can and can't do vary a lot depending on the trustee.
I asked my attorney that a while ago, answer for me (I recommend seeking advice from your lawyer) was an authorized user was not obtaining credit (not responsible for the account) so it was allowed