re: Honeymoon for under $2k

I would look at Costa Rica. There are direct flights from DFW, and I'm sure plenty of other US airports. Pretty cheap accommodations and hanging out on the beach doesn't cost any more than the beers you drink. I've heard of people going to Turks & Caicos on the cheap, but flights there are brutal.

ETA: my dad told me about his first honeymoon in 1962 - he and his bride drove to Acapulco... through Mexico City. Probably avoid doing that these days.