My dog bite me multiple times while playing. she has all of her shots and cleaned wounds with iodine sol. soap, and hydrogen poroxide. any concerns?

No : You don't to worry about pet dog that had shots, worry only dog bite with unknown status , may have rabies , usually these infected animals will die in couple wks.

Minor bites heal wel: Most minor dog bites heal well if they are left open. I would recommend applying a petroleum based antibiotic ointment like bacitracin, and a bandaid. Betadyne, peroxide and alcohol kill germs, but also kill the healing cells, so don't keep applying these substances after the initial wound cleaning. Oral antibiotics should be started quickly if significant redness develops.