Help I'm falling for him !

Heeey ladies ! Im super super emotional at the moment , I'm falling for this guy I met ! We've been talking for about a mont now and yes we've had sex , we even had sex on the first date !!! I know I know... but oh well! He was super Hot and I couldn't resist , it's not like I wasn't looking for some D anyway 🤷🏻‍♀️ lol anyway we started talking for a month and everything and he's always been sweet ! Always takes me out every Friday it's a different date ! Buys me food introduced me to his dad and little sister and friends , puts me on his Snapchat and twitter he's met my mom! He doesn't disrespect me what so ever and he's always being cute. BUT.... he has an ex. Which I'm not very worried about but I feel like she still loves him and I know she does because she lurks on my stuff !! I'm not sure what to do , couple weeks ago I was out With him and we were at his families house watching the dodger game ! And he got a snap from some girl & at first I didn't mind ! Because I thought it was a cousin or a homegirl I really don't mind it we're grown we can both have friends (he ain't my slave lol) then couple days after I found out that the girl who snap chatted him was his ex !!! And he still posted me on his snap and everything! So I looked on her twitter and she post a lot of hurt post and about missing her ex and how man ain't S**%# anyway I confronted him about it and I asked him why he still had her on Snapchat and why she still hits him up he said he didn't delete her because he doesn't care about her nor has any grudges against her blah blah , that he only wants me that he doesn't want her this and that. Days after he's still being sweet ! He tells me he misses me he calls me and we are going out on a date this Friday because he wants me to be his girlfriend! I don't know if I should cut him off because of his ex Or be with him and see where it all takes us ? I'm jst scared to get hurt by him. i really don't care about the girl I mean we all have our own little heart and I've been in her place so I understand she must be hurt , but I want to really jst not be worried about her I want to believe him but guys have hurt me in the past so it's hard !!! But I'm tying ! I'm such a brat to him even if he's not doing anything to me lol idk it's my hormones 😂🤷🏻‍♀️ , but I don't know I really like this guy and to even think of letting Her get away with him by me dumping him drives me craaazy !! Even tho I really wouldn't care for it I mean confidence is key right ?! 👸🏻💅🏻 but anyway to even mention The sexxxxx..... omggggg best I've ever had!! He's 6'3 so y'all get an idea of what I deal with 😍🍆🍆 , I really enjoy being with him and spending time together, what should I do girls !!!! Help me !!!