Razer burn? If 你 shave both those areas.. If that's the case, just make sure 你 use enough shaving cream/lotion and moisturize afterwards.
The only other thing I can guess for the underarm problem would be a possible deodorand 或者 anti-persperant allergy. Most are sold mixed together. Try finding a deodorand without anti-persperant, then try an anti-persperant without deodorant. If one stops the itching, use that from now on.
As for the private itching, is it inside your body, 或者 outside?
Hm... 你 may want to do a little research on Yeast infections. They're not that bad and not difficult to treat. But be sure 你 really do have it before 你 begin any treatment