#1,2,3: Sorry, I obviously didn't explain it well enough. I only gave the Biblical quotations as background information.
As a colloquial expression, the English just means that there is too much to do, so that one can't stop and relax. Or, as CM2DD said, people use it to mean that they are very busy, and have no time to rest.
I was using it this morning because just now I'm on the organising committee of a club I belong to, and every time I think I'm up to date with everything some new little job or new little problem crops up.
It's humorous, as CM2DD said, because you are jocularly implying that you are one of the wicked and that this must be why you get lumbered with (aufgehalst bekommen?) all these things. I suppose one could say it's a deliberate misapplication of the Bible quotation.