A Yard In Fort Pierce

I purchased these 2 Tomato Plants from the Farmers Market a few weeks ago. They were only $1.00 a piece and were about 10 inches tall. These Tomato Plants are weird I think. Some days the leaves will be bright green and looking really good, then other days the leaves look like this, wilted not to green and almost dead looking.

There are Tomatoes being produced right now for the first time. The only problem is they are all cracking. I have never grown Tomato before so I don't have an answer for this. I am hoping that you can help me. My Tomatoes are in full sun and get watered in the morning and at dusk. Do you think I have a Tomato problem? Is this some kind of disease? Here are the pictures for you to decide. Please help, I really want to grow some great tasting Tomatoes.

I have all of these trees in my yard and I have no idea what they are. The first 2 pictures are of something that is about 15 feet tall. There is no real trunk like a tree, these are all individual branch-like trunks. It almost seems like a weed that was let go. The next 3 pictures I think are a Jacaranda or I hope so but not sure. The pictures of the green and white leaves is my favorite but I have no name for it. It was once a tree that was cut down but refused to die and is on the way back. The last of the pictures are of a tree standing about 20 feet tall. This tree produces a fruit that looks similar to a plum in size and shape but is very hard like a nut. If anyone is able to identify any of these trees please let me know. Thank you very much!