The tree looks similar to the invasive Chinese Tallow Tree (Triadica sebifera). Take a look at this link for further identification. If it is a tallow, you might want to consider getting rid of it before you and your neighbors develop a Tallow-tree jungle! Here is a link that might be useful: Invasive Species Tallow-tree

If it's not one of those already listed, could you tell us the scale? I was looking for something with larger leaflets.

Not a berry with seeds that get pooped out.

Looks like Frostweed. It's a very prolific self seeder in my garden. I'm out of room for anymore. They grow fast and bloom the first year. Great for pollinators. Verbesina virginica most likely. You have more Verbesina species down there that I'm not familiar with. There are 2 other white flowered Verbesina in Texas, V. microptera and V. walteri. All 3 white flowered species have very different flowers.