Mystery Flower #1 has turned out to be a sunflower of some sort:
Mystery Flower #2 is a Lantana plant. It has yellow flowers, and I think it didn't get enough water before they started falling off, but I think it's the Texas variety. Also, this picture is so close up because I was trying to take photos in the wind. Stupid wind. The best part about this plant is that we don't have a Texas Lantana in our yard. I've planted the purple trailing, the red Dallas, and some white variety.