Do you think I have broke my hymen?

I highly doubt that you broke your hymen. The tampon most likely hurt because you were putting it in incorrectly. Everyone has to put it in at a certain angle for it to be comfortable, if it's in incorrectly then it will hurt or be very uncomfortable. Not only do you bleed when your hymen is broken, but it's incredibly painful. If you didn't feel incredible pain then you most likely haven't broken it.