Can you use self-drilling anchors on old plaster ceiling?
This will most likely not work because you won't be able to get this to screw into the plaster. That stuff is HARD. I use masonry drill bits in my house, and they go dull after just a few holes drilled.
You will probably be OK using wall anchors as far as the anchor holding your light, but I would go with a different style instead, like the expanding plug, or toggle bolt type.