I've just broken up with my boyfriend after discovering he is a transvestite, i'm now worried hes a pedophile?

I found out this week that my boyfriend has been dressing up a a woman and inviting men around his house to have sex with him.. sometimes in the middle of the day before coming to see my after wards. I am a complete mess and now am worried about his children. He is separated from the children's mother and they live with him 3 days a week. I always questioned how close he was to his youngest daughter... he would do things like smack her bum when she was walking up the stairs and they'd sometimes share a bed (she's 11). She was also massively jealous of our relationship and would never let us be alone together, she would jump into bed with us in the mornings and play with his hair and tickle him back. His oldest daughter who isn't his(13) is an anxious mess, i've never seen a child who suffers with anxiety like her. He also works with children and teaches karate to children. I'm not sure if i'm being completely paranoid...?