Can a woman get pregnant if a man rubs his bare penis on her vagina, does come/ejaculate, and the female was on her period wearing a tampon & shorts?

No: I think it would take a miracle to become pregnant under those circumstances, but if you want to be positive, a simple home pregnancy test can rest your concern. I would recommend using birth control and have men wear a condom if they are going to be coming in contact with you, as genital warts and herpes can be transmitted via skin to skin contact (doesn't require penetration to infect you).