You can thoroughly document your circumstances to the school, and then ask for a waiver of the additional fees. If you are refused, then you could return, enroll again -- and if you are refused enrollment unless you pay the additional fees, you could sue for intentional or negligent misrepresentation, based upon the position that you were misinformed about your options which have caused you damages in exactly the amount of the unpaid fees.
This is a small claims
court matter. Upon your return, I would make an appointment with the Dean (or whomever is the head administrator), and try to explain things in person.
I've had difficulties with culinary schools before. They are frequently running on a shoestring budget -- and lost revenue can be fatal to running the school. However, if you are trying to re-enroll and they see that more money may be coming their way, you may be able to reach a settlement on the previous fees for a reduced amount, plus your new enrollment.
That's probably the best way to approach the situation, because you want to try to get the Dean to see that both sides have some blame in this situation.
I realize that you may not feel that it's your fault, but were I a judge, considering the matter, I can see both sides, and that means that if you sue, the real judge in your case may also see two sides -- which could mean that court action may not turn out in your favor.
It's a bit of a coin toss at this point.
Please let me know if I can be of further assistance.