Husband accused as pedophile

My husband of 15 years was fired from this group home for youth that he worked at because he let a door shut behind him and a 16 year old girl. His supervisor said this was the second time it had happened as he was warned before. He claims it never happened before but she said it did and told him to stop texting her and that he was fired. This was a year ago. In the last few months I’ve had to tell him to stop walking down around the house in his tight briefs( he has a very big penis). I have 20 year old daughter from a previous relationship. He would get upset like ok I’ll put some pants on and have an attitude. He again does the same thing a few days later. Very tight briefs with dick print all out and he’s a big guy tall and has weight on him. Just be presentable is all I ask out of respect. We have two boys ages 12 and 10 and I don’t walk around in my bra and panties. Or the fact that if he had a son that was 20 years old I don’t think I would be comfortable walking around in my panties. He gets so upset when I bring this to him. My daughter does not call him daddy and has been around him since she was 5. She just doesn’t. But he calls her baby a lot and texted her for her birthday that he can talk to her about anything and she’s so understanding . I caught him again as I was coming In the door from the store and he was in the kitchen by her bedroom door with nothing on but his tight briefs . So I’m like ok he went upstairs and was like I was asking her something I forgot I didn’t have clothes on because I was about to take a shower….. I was raised to be careful of men and intentions and I feel so uncomfortable

Side note/ when I say she texted him I was referring to his supervisor. He texted her in front of me the night he got fired because he was acting so insulted and upset. And I read what she said to him. She said we have spoken to you about this incident happening before please do not contact me anymore .