In case no one has answered/solved these questions...
Your first plant is a Baldcypress - Taxodium distichum. For those still on the fence about its ID, Kelt gave the best clue in the description - you shouldn't even need a picture. The tree is deciduous in winter, so that eliminates almost any other conifer.
I'm not sure on your second plant. You could take some additional pictures that clearly show the leaf arrangement along the stems - that always helps - as well as the bark on the main stems.
Closer scrutiny makes me believe the second plant has opposite arrangement of foliage, and might have had terminal flowers? It seems familiar, but the serrate leaf margins are puzzling me.
