What on earth are these bugs on my sweet peppers?

[Nat1H]

I have had problems with aphids on my pepper plants in my tiny, plastic greenhouse. I introduced lacewing larvae and adult ladybirds which sorted them out! Now I have some odd spidery things on the underside of my leaves - just on the pepper plants. I am pretty sure they are not red spider mites as they seem to be longer and a slightly different colour than the pictures I have seen on the net. Am wondering if they are baby lacewings, but I have not noticed any eggs! Please help. Should I kill them all by squishing them or not?

[FromGirders]

Difficult to tell without a bit more detail. Ca n you take a picture or look at them through a lense? Red spider mite isn't always red byt the way, normally it's light brown-ish, with two darker spots on the back (often called two-spotted-spider-mite). Only the over-wintering females are red.
Anyway, back to your problem, are there any signs of damage on the upper leaf? Predatory animals tend to run faster than leaf-damaging ones (leaves don't run away, so they don't need to be fast).
Lacewing larvae look like this