The first one looks like some kind of Ruella (similar to creeping mexican petunia). The second one resembles some sort of a mimosa?... but I'm not certain of either. Let's wait for more people to chime in
I've always called the top one purslane. Don't know if it's correct. Here in Florida the Gopher Tortoises eat it and so does my Aldabra, Sulcata, & Leopard.
There are several things in the 2nd picture. And my torts eat all of those too. Don't know the names.