Of course. You should ask your attorney whether or not it can impact the divorce settlement.
No. The divorce must be final first.
yes
Yes
they can and possibly settle their differences then.
yes, as long as you don't plan on getting back with your husband or wife;
No.
She still has the right to have access to the house until some judgment is determined in your divorce.
Generally no except temporary orders will sometimes prohibit cohabitation while children are present.
Because you're still married until the divorce is final; to my knowledge, no jurisdiction in the Western world allows more than one marriage at once.
Inform yourself and get in touch with a lawyer to help you through the process. The most important part is to take a distance from the divorce and not get emotionally involved, which can be hard but must be done. This way you can look at the situation more boldly.
They did not divorce. While they have gone through challenging times like any family, they have not divorced.
I'm going to say No! Make sure he is not mistaking lust for love.... Look at the good, the bad, and the ugly before you marry him. If your honestly OK with it than DO IT!