I have been dating this new girl for almost 1.5 months now. She is great, very good personality, honest and modest. She left me impression that she is committed person with noble character. She was with her last boyfriend for 4 years and they broke up because she had serious life-threatening operation that involved tumor removing and he couldnt support her during this time. She doesnt drink at all and very opposite of "wild party girl" image, that i despise. She has good relationships with both of her parents, that also says a lot about her, because i think many cheaters have psychological issues that stem from bad relationships with parent, especially with a father, if we talk about a girl. So, she had great relationship with her father, as far as i know. Her parents are not divorced like mine and have been living together for more than 20 years, so she saw example of commitment in her life.
Basically, the only red flag (if it is) i saw about her is her...best friend. Its a guy and she said that they were best friend for almost 10 years, they knew each other from children's camp. This guy doesnt have girlfriend as far as i know. She showed me picture of his and i must say that he is pretty handsome. From what i heard from her - they are good friends and talk almost everyday via social media. Sometimes he gives her rides to home on his car (last time it happened, she was in his car exactly for 20 minutes, that was no more than car ride required, i noted the time) and sometimes she visit him in his home, she said that she was on his mother birthday and they played playstation a little. She says that this guy not very smart and pretty arrogant, she told me that he uses bad pickup lines and thinks that all girls are more stupid than guys and i guess his arrogance prevents from getting girlfriend. Anyway, i got jealous about this. I've read that if all the friends of a girl are guys that it is red flag. If i understood right, she has one female friend, but she left in another town and they see each other few times per yer. And this guy is pretty much her best friend and the only one male friend, because they live close to each other. I wonder if i should ask her if they had any sexual relations in the past. She most probably say that they had not, but there is tiny chance that she will say that they had, but no anymore. And this answer i wont be able to handle well enough. Im kind of insecure person and it would bother me a lot. Maybe i should remain in obscurity for the sake of our relationship, because it matter to me a lot? Also, the one thing i learned from my past relationship - it doesnt make sense to try and control someone relationship. If i would ask her to stop communication with this guy, she not only will remain communicating with him, but also will be see me as controlling and manipulative guy.
So my questions are:
1. Should i ask her if they had anything sexual in the past (the answer might mess with my obsessive mind) and if they had, how should i react to it? If i should ask her, in which manner i should do it so she wont think that im insecure and jealous?

Another issue:
Recently i was diagnosed with prostatitis. This condition might make me less sexually attractive. Men with this condition almost always have premature ejaculation. It also has another health issues that diminish quality of my life. Question is - should i tell her about it? Its kind of delicate thing and im not sure if she has to know about it all.