help please!

So I had sex with this guy on the 28th of November And he straight up came in me. It sat in me for about 20 min before I went pee. 
About a week later I slept with someone else. He pulled out. 
I am now 5 weeks pregnant, and the first guy is convinced it's not his. But the time line fits when he came in me. He said a week doesn't make a difference, but i don't know if it does. I can't get a DNA test until after I give birth, 09/01/2017.... but both guys wanna be at the appts and be there for it during the whole pregnancy. Idk what to do.... I'm 98 % sure it's the first guys. Yes they both know they could possibly not be the dad.