turningpoint, if you want to tell me the name of the publisher via PM I'd happily let you know, in confidence, what I think. A link to their website would be helpful.
You're right to be cautious, especially if this publisher is less than two years old. An awful lot can go wrong in a publisher's first two years.
If you're worried about the contract, there should be writers' organisations which can help you: if you're a member of the UK's Society of Authors they'll give you free (and excellent) legal advice on the contract, and I bet there are American equivalents if you look for them. But don't sign anything until you understand exactly what it is you're signing.
And congratulations on the offer! Even if you decide not to accept it, it's great that you've reached this stage.