Customs does (at times) check bags. We have been through customs at Belize International 12+ times and the only times they did not check our bags was when I did "not" claim anything. It seems that evety time we have something to claim they want to check the bags; although, they have never been really inthusiastic about it. On the other hand I would sure hate like hell to not claim something and then get hoofed from the country for trying to smuggle! Although ... I have seen people pulled from the line leaving the baggage area to have thier luggage checked.
Yep you can bring wine. 1 litre. I don't know why you would want to. Just contact Simon at http://www.lagniappe-belize.com/order.htm
an he will look after everything. NO I do not work for him; I use his services and find them to be all that I need and more.
Have a wonderful trip!!!!!