Gee TGN, i've never tried to grow vegetables here so i don't have that experience to share but from what i hear, you can grow tomatoes but they will probably need more shade than sun. For sure you can grow chili peppers and i think squash might do well (both summer and winter varieties). I don't know how much rain you get where you are. Here we get tons of rain over a 6 month period so i don't know about root vegetables like carrots and potatoes, etc., although yams are grown locally. I guess you would have to experiment with your seasons and what you can grow during certain months. I've seen chard growing here, absolutely big beautiful chard. I think you can grow many things, but knowing when to grow them is the tricky part. You would want to keep in mind that some vegetables are going to grow more quickly because of heat and humidity where you are.
O bravo for your rice! I'd love to see a photo of your 3' tall rice. I don't think i have ever seen it growing. If you favor us with a photo you can put it on your rice thread because i think many people will be interested to see it. Now that seems to have grown very quickly? I have heard that generally people in the tropical regions can count on having at least 2 harvests of just about anything per year. It would also be interesting to hear how many days from rice seed to harvest.