#1 is not morning glory. Some kind of composite, if it's in garden maybe Black Eyed Susan. If it's in the woods, might be White Wood Aster, Aster divaricatus (now called Eurybia divaricata). Or Echinacea? Something along those lines, anyway. #2 is Wineberry, Rubus phoenicolasius. A non-native blackberry relative, considered a weed, although I find it sort of attractive. You can eat the yellow berries, although they're a little bland. #3 is Barberry, Berberis thunbergii. Also a weed, although one that has been planted as an ornamental a lot. I don't recognize the bush. Tree 2 might be Mountain Laurel, but I'm not sure. WW

Although very similar in leaf shape, I'd go with Morus. Doesn't look viney. But, to answer the question "weed or keeper?" I would say weed. FEMALE mulberries of any species are a weed to me with their staining fruit and prolific nature. Root systems from hades, too. hortster

They are not horrible weeds. It is a native plant that provides very valuable services to wildlife. If they are in a garden, not so desirable, but in a wild place, perfectly good to keep. Don't be so negative, ken!

Chenopodium album, as Chris says, Lamb's Quarters WW