Is a dead body supposed to bleed when you cut into it?

no as circulation has ceased.

If it's strait after death then yes.

But if it's been lying there for a few hours, the blood will sink to the bottom of the body, around the back area, there wont be much blood when you cut in to it, although there will be a small amount, that's not yet drained to the bottom.

Yes, but it will coagulate quickly.

kill someone and find out.