Yes, you can continue to pay any debt that you want after bankruptcy. Bankruptcy means that creditors can't collect from you, but you can still continue to pay creditors if you want and can afford.
People usually continue to pay on their car loan or home mortgage after filing for bankruptcy.
You can keep paying relatives, if you want. Medical bills, credit card debts, bank loans, phone bills and many other types of debts are generally discharged in bankruptcy. Not all debts are discharged. Even after bankruptcy, you will continue to owe fines, criminal restitution, most debts for taxes, most debts for student loans, child support and alimony, and some debts resulting from drunk driving, among others. You can file bankruptcy on past due phone or utility bills.