Should I believe him?

I am 43 (f) my husband is 48 (m) . We’ve been together for 5 years. Married for 2. After we got married I started to get these feelings that I should check his phone that he was acting odd. Odd as in we weren’t having sex as much etc. I didn’t find anything but then I ran his face through a website and found him on several dating websites. He claimed they were before us and after looking better one was in our new house so that wasn’t true. He gave me some story like he felt like I would leave him. I let it slide 6 months later same feeling so I looked again and nothing on his phone but same deal with the websites. A woman messaged me and said your husband is messaging me asking for pics etc. she had also reversed searched his pic and wanted to know if it was true we had an open relationship and I said heck no! I ask him about it he said for fun he had made a profile on double list and was just messing with fake people and looked into my eyes and said I swear on my life I love you and it’s just a joke. I didn’t believe him all the way but I stayed with him. Every-time I asked for sex he would say no. We had sex like 1 time a week and I think maybe it’s his age. Well recently I find “chat” under his email on his computer and it’s full of him talking dirty to all these women. Some are fake asking for money some are real. Sending him dirty photos. He’s calling them sexy and all this. And talking dirty. I try and send him dirty pics and work and he tells me not to someone might see them. But I confront him again and he blows me off again now he’s buying me new stuff every day and being all lovey. He can only cum once a day too so if he’s jerking off to these pics or meeting anyone he wouldn’t be able to get off with me .
He claims he’s just messing around with fake people but some of these are 100% real

What do y’all think about this whole mess?

TL;DR
Is my husband manipulating me and cheating on me?