There are a couple of factors the court would consider. Was the house bought before the marriage? Is there a mortgage? Were any mortgage or down payments made with marital funds?
Once you marry, all money made or received as income (not gifts or inheritance ) is joint property and subject to equitable distribution in NY.
As for adultery you could claim this as a counter claim depending on how far into the case you are. It is extremely unlikely that this will be a factor in the Courts...
Do you want custody and think it is in the child's best interest? If so, you should file for custody of your granddaughter. I strongly suggest you hire, or at least consult with an attorney with experience in custody cases. Good luck.
There are some questions in terms of the suit. If it is for personal injury you may not be entitled to any portion UNLESS you have a claim as a spouse for loss of consortium. You really need to gather more information and consult with a good attorney.
Absolutely. Imputing income is discretionary. The amount is also discretionary, but would be based on income you would expect to make if you worked full time in your field. You should speak with an experienced attorney; someone who is extremely prepared and persuasive. Nothing is a guarantee but the right attorney could increase the likelihood of a favorable outcome.