I think they are possibly both moths in the Noctuidae family. The second one looks like the top right on this page of Catocalinae moths but I haven't found an actual ID yet:
http://www.theearlybirder.com/...
The moths themselves are not likely doing any harm to your plants, they may just be looking for nectar in the flowers. Their caterpillars may be damaging to plants though, often they are called cutworms or armyworms
There are a lot of species in the Noctuidae!
