Got this email from H this morning:

I am sorry.
you are right - it was wrong of me to try to use the house as leverage.
at the end of the day I was wrong from the start and hurt you unnecessarily.
I am sorry all of this has happened and for the pain I have caused you.

I will not stand in the way of you keeping the house regardless of how you file. you can monitor the account - I will not touch it.
I will respect your desire for privacy - even in our home - and not show up unannounced.
and I will work to get this over with quickly so you can move on like you asked.