Hard time trusting my boyfriend :(?

me and my boyfriend have been together for 2 years now...i know i love him and i know he loves me...we always have fights because of my trust issues towards him...he hasnt cheated on me, but everytime we have an argument he explodes into anger and i feel at times that he wants to break up with me...arguments usually start because i am curious of girls that talk to him even though he tells me nothings happening between them. i told him that i have trust issues because of my past...its just too hard to give my 100% trust to him...am i wrong that he doesnt deserve my trust yet?