I an unaware of a condition that can link lower back pain and prostatitis to the increased sweat in your groin region.
There are several causes of increased sweating - including side effects from medication, any type of hormone or endocrine abnormality, or fever from the infection.
I would consider tests for your thyroid, and hormonal tests including testosterone, LH, FSH. If you continue to have increased sweating, you may consider referral to an endocrine specialist.
Followup with your personal physician is essential.
This answer is not intended as and does not substitute for medical advice - the information presented is for patient education only. Please see your personal physician for further evaluation of your individual case.
Thanks,
Kevin, M.D.