Questioning my pregnacy

Soooo, my last period was from april 5th until the 10th of 2020, my boyfriend got home from jail April 14th...We had sex 9 days straight, multiple times in the days and after the 9th day it was every other day... i missed my May period and found out i was pregnant... Now the doc goes by first day of period which is April 5th n due date Jan 10th 2021... my boyfriend questioned me about whether i messed with someone before he comes home... when his mom ask how far along i am she jokes and ask him has he even been home that long..his sister questioned me as well and they make me feel like i am being talked about when they are not around.. i dont like that 1 bit... i told my boyfriend we can do a DNA test n he saids he believe me when i say ive only had sex with him.. i really dont want him doubting my child but its sucks.. Also is it possible to have baby early because i feel because they go by my period date instead of when i was having sex i am going to go over due date... im just venting at this moment.. i will just let them keep thinking what they think cuz i kmow what i did..