Husband is suspicious of me

What can this mean besides cheating?

These are some of the things I deal with on a weekly basis and I'm not cheating.

1. Comes home from dropping our kid off at school and asks if I talk to anyone there. I say no. He says that a man walked up to our car but turned around when he saw my husband's face. Idk anyone at the school and don't talk to anyone there. He wouldn't let this go.

2. Says he found a hair in the front seat. Asks me how it got there. He determined himself that it was my hair.

3. Checks my activity in my phone occasionally.

4. Asks me if I talk to anyone in our complex. I don't talk to anyone besides a mom I see at our park. I know he means a man, but he won't say that so he won't seem accusatory.

5. Comes home from work and says he sees pet hair on our bed. Asks me how it got there. I respond with "idk. We've never had a pet in here. Maybe from the kids toys." He says "No it's like someone who has a pet sat on our bed...". I respond with "No one has been here". He then asks our kid about our day. Our kid is unsure about our day and the timing of what we did. He says there's only one person in our complex with a white dog (the hair was white) and that he will confront this person. I went to look at the "pet fur" he found. It was literally 2 short white strands. I told him it could have been pieces of feather because our couch has feathers inside. He then asks to see my phone. Nothing there out of the ordinary ofc. I ask to see his phone. He hands it to me but won't tell me the password. He then tells me he wants me to take a lie detector test or he wants a divorce. I tell him to file for divorce. He says he knows I'm cheating and that he will follow his heart. I tell him idc because I'm not and I'm tired of his constant questions.

He tries to make me feel like these are normal questions that come up in a relationship. This isn't my first relationship and the only time I've had a partner constantly question everything was in a past DV relationship. I only believe in divorce for affair or sexual immorality. I try to follow the bible. He will not do counseling. What do I do? I'm disgusted with him at this point. His behavior is a trigger for me and in the past I have lashed out at him because of it. Which ofc he saw that as a sign of guilt from me. I have prayed for him so much. Back in the day he used to drink and be awful. He has sobered up and been the best he's ever been. I'm worried that this is his best self 😩 It's driving me crazy and I'm having to hold in my anger because if I go off then ofc that will confirm his belief. I feel like I'm having to pay because when he was younger he used to have relations with married women and it has skewed his view of women. If I had known this I would have never married him.