Ok I clarified some of these details of what is fair what I am entitled to with L just now:
At date of separation, our individual net worths determine what gets transferred from one party to the other. In my case, with me being caregiver and having S live here, I would be entitled to child support (retroactive and prospective).
We are each responsible for 50 % of mortgage, insurance and utilities of the matrimonial home.
My priority at this time is to keep the house. If down the road, I buy her out or we sell the house then all of those figures can be resolved.