A. More disclosure is better than less disclosure.
B. Prenups are generally not do-it-yourself projects; if you anticipate substantial income from this business, it's worth hiring an attorney to do it right.
Impossible to say without more information: what's the length of the marriage? What's the custodial time-sharing arrangement, for how many children? Most critically, what, and how long ago, was her last prior employment history? Two months may or may not be a reasonable time, depending on the market.
An appeal is almost NEVER a do-it-yourself project; even many attorneys can't handle them properly. The requirements for an appeal are complicated, technical, and some of them are absolute; if your notice of appeal is filed even a day beyond the due date, you've lost your right to appeal, and the court can do NOTHING about it, but the court WILL keep your filing fee for the appeal (which, last I checked, was several hundred dollars). If you want to file an appeal, you NEED to speak to an...
Federal law: whoever's got custody 51% of the time gets to claim the child as an exemption, unless there's an agreement to shift the exemption to the other parent, and the parent who's giving up the exemption for that year signs an IRS form doing so.
If any of the children are under 18, she can. Child support is determined not just on the amount of time spent with each parent, but on a complicated formula which also factors in the income of both parents, so that in some cases, a higher-earning parent may be required to pay child support to the lower-earning parent, although the higher earner also has the child(ren) with him more than 50% of the time.
To figure out your best options, you should review all the facts of your situation...
How is she "restricting" your communication and travel? How is she restricting your relatives from visiting? If you're an adult, you can go where, and when, you please, and if you have the right to occupy a home (whether you are4 a renter or owner) you have the right to invite anyone you want there.