Not 100 percent sure if I have pink eye should I use the polysporin (bacitracin and polymyxin) eye drops or could it damage my eye?

Possibly. If your eye gets red but 1)the vision is ok and 2)there is no pain or pus, then you can try the polysporin (bacitracin and polymyxin) which is a good antibiotic. If the problem persists (take out your contacts if you are wearing them), then see your ophthalmologist.