I have a sensitive plant (Mimosa pudica) that has gotten infested with tiny black bugs. They're roughly 0.76mm (3/100ths of an inch) long. I'd like some help identifying what they are and how to treat them. I've sprayed them with Neem Oil. That seems to kill them, but then they appear again. Something is wilting the leaves on the plant, turn them brown, and making webbing (similar to a spider) on the leaves--especially the new shoots. When I poked the black bugs with a pin, some of them would disappear (jump, perhaps?).
I've circled one of the bugs with a ballpoint pen for size comparison:
Here's the little bugger under a microscope:
I also found this mite on one of the dead leaves:
Also on the dead leaf was this (an egg?):
All the microscope images are at the same magnification.