Several Conserns

So first,

Right before Thanksgiving I finally was able to move in with my partner we have been planning on moving in together for years now and stuff kept coming up,

The first week well we were alone we had a Scare the condom kinda over flowed? [Didnt brake but it was leaking out where the hole is that was already there around his Base] I have yet to have my period but it's not due tell the week of Christmas...

Then a few days ago I went in to talk to a specialist about getting a IUD was a Different doctor then I have seen in the past... due to the fact I am now unable to see my normal one.... well they did the pee in the cup and talked to me... [were super rude when they weren't in the room with me and complaining about me and other people they had seen before me...] never told me why they wanted me to pee in a cup nor did they discuss it when they came in to talk about the IUD options and told me to call back to come back in AFTER my next period... I'm thinking about going in elsewhere before my health insurance cuts me off due to it's being state residents only for the state I moved out off....

Also how does one go about testing fertility? My partner wants to know what his is due to past things that happened before he met me