Relationship Doubts.

Emily
Me and my boyfriend met online a few months ago. He's met my family which is rare, I don't often bring people home- he practically made me- he wanted to meet them. 
But i've started to notice the little things he does that bugs me. He had really bad Anxiety and is always making me feel bad for having doubts about us. Like he'll say I don't want I would do if you were to leave me, I'd probably drink myself stupid Etc 
I asked him the other day why he wanted to meet me and his reply was a simple you HAD nice tits and ass in the pic you sent. Which made me think  he just wanted sex from me. But he keeps saying he'll change to keep me happy. I asked him to stop smoking because it's like a taboo in my family. He replied saying he wouldn't ever stop smoking how ever he'll loose weight instead. But he won't eat healthy. He won't go to the gym alone either. 
But he's desperate to start sleeping at my parents house - like same bedroom with me. But they don't want him to and he literally Guilt trips me which makes me hate him. 
Should i break it off. 
I nee advice please 
Update-- 
So i told him how i felt about him and he wasn't having any of it. He just said that it was a rough patch and we'd overcome it and said how he really doesn't want to loose me. It was hard but if i'm not willing to pull my weight then whats the point in keeping it going? 
Thank you to you all for helping me come to this decision. 

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