Installing a new AC is pretty easy. Kits from autozone are about $300 plus Freon. I have not done one in a Honda so check YouTube. You can borrow the gauges and and vacuum pump from Autozone for free.
All said and done you should be under $500. At a shop I would guess $1500-2000.
Bring it out to Gordon's. We'll pull a leak test, charge it, diagnose why it doesn't work (if it doesn't) and report the findings so you can make an informed decision. If you decide to fix it yourself after that, at least you know where to start.