A cess pit has no bacterial action going on Barmaid. Usually only found on very old installations. It simply has to be completely emptied, then you can start again.
It's more likely you have a septic tank. These need only de-sludging every year or so, depending on use. Bear in mind that, in normal operation, these are always full of water. The de-sludging simply clears the solids to let the normal bacterial process take place.
Clearing this is a good place to start.
But... your problem may still be a simple blockage.