Your balls won't hurt when you touch them. You're supposed to be able to touch your balls
As far as the "small balls big penis" thing, you could just have smaller balls or your balls haven't grown yet. It'd help sooo much if you tell us your age, since it is puberty and age does matter when you ask questions (it's in the Puberty101 Rules)
Also, are your balls small compared to your penis? Or is your penis big and your balls average size? Or is your balls small and your penis is big? How old are you?