lingonberry is awesome

I got three from raintree at the last flower show. Two did well. The third, my dog dug up, and it died out and looked dead, dead, dead. Dry and brown. But I teased it out and stuck it back in the ground; the area still gets water during the summer. And it looks like it's decided to live.  Proud of my plucky lingonberry, even (especially) if it grows sideways with leaves tinged pink.

dianthus bit it, too

It, like the lithodora, has been here for two or three years now and been evergreen. I guess I cut them back to the ground now?....

my lithodora! noooooooooooooo!

Blue Star. Half of it turned black in the freeze last week. It's grown really well in the last few years and has been evergreen, but it got COLD this time. When it's in bloom, it's beautiful. Don't know whether to leave it or cut it back... given that it's half BLACK, I guess it gets cut back?

What is it?

Doing my long overdue fall cleanup / post-freeze assessment. This guy is back. I have it in two places.
Sad thing is that I'm not sure it's not something I planted on purpose. It kind of looks like strawberry, and I thought about seeing if strawberry would grow here.
But maybe it's blackberry. Or poison ivy. I have no idea! The stems were clumped, it had shallow roots (maybe an inch long?), the stems were rough but not exactly spiky, and I've pulled it out at last twice this year under my new "if I didn't plant it it is probably a weed that will take over if I don't rip it out" policy. (That policy replaces my "if it's green it's pretty" policy, which didn't work out.)
What is it??

(I'm looking at the three-leaved thing. The heart-shaped leaves are the vancouveria that I'm cutting back everywhere - it's done for the year!)