Cool!
1. Looking at images online, it looks similar but not exact to either lactuca or wild rocket, but close enough it could be either (or arugula?).
2. Looking online, I think cheeseweed is the win (or at least the mallow family).
3. Storksbill looks like the win.
4. Cleavers, bedstraw - definitely in the galium family.
Thanks so much! At least knowing the family, I can decide how much to fight these vs let them be.