Can credit card companies sue the estate of a credit card holder that has passed away for payment?/
Yes, they may file a claim for payment against the estate.
Yes.
Also, if there is an open probate proceeding, specific notice must be sent to known or reasonably ascertainable creditors to give them the opportunity to file a claim against the estate.
Yes, they may file a "statement of claim" and depending on if there are any funds available to pay, they may or may not be paid off.