wild guess - top plant is a veronica and bottom plant is a purslane. I believe that wild purslane will interbreed with cultivated Portulaca and sometimes you get all sorts of variations in leaf margins and petal color. Purslane, tho a weed is very healthy to snack on while your out weeding the garden - it's one of the few vegetable sources of Omega-3 fatty acids. The wild form tastes better than the half breeds or Portulaca.

I have that same plant (top photo) growing in my beds. I have no clue where it came from. I'm really new at growing plants from seeds, and when it sprouted I thought it was something else that I had planted there (that never grew).

It reblooms.

The second is gallium. I think it is native, but still a pest for me. It breaks rather than pulls out, even when soil is soft.