Larry, What a lovely green lacewing you have there. I love green lacewings and think it would be hard to garden organically without them because they are voracious eaters of pest insects. Mark, It is one of the assassin bugs, as Helen said, and is related to the wheelbug. Almost all assassin bugs are good as they prey upon pest insects. There's about 150 known kinds of assassin bugs in North America, and the only one I can think of that is bad (from a human point of view) is the kissing bug, aka the cone-nosed assassin bug, because those do bite people. Some assassin bugs, and in particular the wheelbug, will bite a human if that human gets too close to it, but they are only doing that as self-defense. Wheelbug bites can be very painful---similar to a scorpion bite. Dawn

Well, I'M sure not going to be able to take a guess at this one....perhaps you'd do better by trying to describe whatever this is. Almost looks like a spider, if I squint my eyes real hard.

yeah insecticidal soap is a contact killer so you should spray the undersides of the leaves where they like to gather. Just repeat every week if you see them. If left unchecked they will stunt the growth of the plant i lost a cutting or two from outside to them because i was not careful enough to make sure no aphids got inside. another if not icky way to rid of them is either rub them off with your fingers though this will not work as well if they are hiding in small crevices like the tomato blossoms and the like

They look like wheelbug hatchlings from the photo.