Unstable Relationship

Can someone atleast enlighten me on my situation? Should i just give up or fight because of my daugther? Me and my boyfriend are always fighting, he kept on accusing me that i have some other boys, one time he accused me having relationship with my bestfriend which is a boy (bff since college days), so what i did is i stayed away from that bff to save our relationship, then we became okay, after few months he accused me having a secret guy with my social media account which he can access freely. He kept on telling me that i am deleting convos from boys. Our baby is now 2yrs old. Since i gave birth he change the ways he is. He kept on accusing me and thinking i am cheating. Im feeling this relationship is so unhealthy for me, yet i dont want my baby to grow up without a father. Advice please.