This is WAY too heavy for a 6 month long relationship. She knew your job and its nature when she met you, if she doesn’t like it, she can get fucked (respectfully).

You seriously need to bounce ASAP. If she exposes you, deal with that as it happens and get the police involved if necessary.

It’s a kiss that happened a year ago and you’re in a relationship with someone else. It’s not a big deal, leave it alone.

I wouldn’t be happy about it, especially if it was as a substitute for me.

That being said, it doesn’t bode well that he NEVER wants to do anything with you other than stay at home. He should be making more of an effort, if not, might want to reconsider your options because this is the sort of thing that causes bitterness and resentment (and therefore, a breakup).