1. I don't know of any restrictions on wives and children for recruits. It was talked about years ago, particularly by the Marines. I saw many privates who already had families. But: Just because you're married, doesn't mean you will get Command Sponsorship (where they military lets you take your wife with you, particularly overseas). At best, you might get government housing (which can be likened to slums).
2. Don't lie. It could end up wasting your time and theirs, and cost you even more.
3. You are now a Husband and a Father (to be). Consider your reasons for joining the Army carefully. If you just want to go somewhere and blow things up and act like a young, SINGLE man, reconsider your motives. No matter HOW BAD the Army says it needs you, you have a family to consider. Technically, we're not really at war.
4. If this is a serious career move (lifer, training or college money), MAKE A PLAN AND STICK TO IT. Two years and out for college is a great option for many young people.
Good Luck and don't believe everything they tell you.