Unknown plants - Help!

Could use some assistance identifying some plants. The following low groundcover is widespread. Not sure if it flowers. I hope it is a native, because it is reasonably attractive and it spreads fast.

This is a leggy suckering shrub that is growing in fairly deep shade. I pruned it way back last month, and it seems to be filling out.

Looks a little like a May apple? I assume this was planted intentionally.

This was planted by a previous owner, and I moved it to a pretty shady spot under some pines. It grows to ~12" to 15".

This might be Green-and-gold (Chrysogonum virginianum), though the leaves don't look quite right. I'll know when the flowers open up. There is a huge patch of this in a neighbor's yard, so if it's non-native it will be hard to get rid of. It is very pretty, so I hope I can keep it.

Any help would be appreciated!