I agree that it's a coreopsis, probably a garden escapee.

Beautiful pictures, thanks for sharing! :D #1: Lotus corniculatus and an Echium, probably E. vulgare. The smaller, yellow-flowered one is a Trifolium, there are lots of similar species. #2: The daisy is Leucanthemum vulgare, the reddish one is another Trifolium, most likely T. pratense. #3: Sempervivum arachnoideum. #4: The "buttercup" could either be a buttercup (Ranunculus), or a Potentilla of some sort. The hairy rosettes belong to the Sempervivum; the white star-shaped flowers are Silene, possibly S. rupestris. The slender, fiery red spikes are sorrels (Rumex), and the purple flower in the lower left corner might be a Nepeta. The greyish-green leaves in the center belong to a Hieracium. Do you have a bigger picture we could look at?

Top photo is a member of the Orchid Family, Goodyera pubescens (Rattlesnake Plantain). I believe you are correct about the bottom photo, appears to be Monarda didyma (Scarlet Bee Balm) Both are showy Natives, found in many locations throughout the SE. Good photos!

Maybe Scutellaria ovata. Right on with the scullcap guess.