Questions I'd ask if I were in your shoes:
What kind of child support (CS) obligation is your husband going to be responsible for in relation to the OC? How long will that last? Who will pay for expenses like swimming lessons, healthcare costs, etc. What about post-secondary costs in the event that the child elects to attend college, university, trade school.
It sounds like your husband intends to be in this child's life. Have you worked out what kind of custody arrangement he will be seeking? What do you expect this to look like? If you stay with him, will that impair your family's ability to pick up and leave? What happens if she wishes to do so?
Is there any way YOUR income or assets will be used to calculate CS?
If you and your husband's marriage was to end, what kind of CS payments or spousal support payments would you be entitled to or responsible for? For how long? What kind of custody setup would be likely to be awarded? Would your entitlement to CS or spousal support be affected by the OC? Is there any strategy in terms of maximizing your entitlement?
If so, how so? What kind of division of assets would you be looking at? Things like houses, pensions, retirement funds etc. Is there any benefit/detriment for filing now vs. in a year or two or at a later date?
If you anticipate things like big bonuses or inheritences on either side in the next few years, how would that play out? Is there anything you can do to protect such things?
You may also wish to ask about postnuptial agreements.