Is it worth it?

I've been with my fiance for a year and 6 months and I just want to know, is it worth being with him under these circumstances. He lies constantly about his social media accounts. 5 months into our relationship, he told another woman he loved her and he was two timing, his other relationship was over the phone, texting calling etc.. and now again he has an instagram, people may think this is rediculous, but women we all know when our men do things behind our backs it hurts and that's affecting me.. he is my savior but he is slowly turning into a nightmare.. doesn't want to spend time with me.. doesn't want to have sex, and it's the beginning of the relationship shouldn't sex be a sparkly thing, when I ask him he says idk I just dont want to.. I try not to be jealous but I don't know what to do anymore, when I ask him these things, he gets angry and storms off. I don't know how to have a conversation about this subject with him without him going off on me.. I'm tired and sick of it, the lieing, the covering up.. I found photos on his phone of the instagram and confronted him about it, he said idk where that came from may have came from my SD card but the date said differently of two days ago.. also on his work stub, it said he had clocked at 7 am Saturday and it said, he took his break for a couple hours at 10 am and he checked in at 3 pm.. I confronted him he said I forgot to clock in, If he forgot to clock in where'd the stub come from, and then he said it was a glitch, it didn't make sense but I believed him and I still do but I'm just curious am I getting lied to.. I've been cheated on by him before that's why I'm so skeptical, he hasnt cheated sexually or phisically but im still afriad. please don't think I'm controlling.. I told him after he cheated on me, you better prove to me that you love me or I'm leaving.. and now he's still doing the lieing, I don't know what to do, how can I trust a man that constantly lies to me, I love him, thinking about not being by him breaks me, we also live together as of 7 months ago but I just want to trust him and stop questioning myself, I'm tired of all of this, I need guidance, help me please!