Was this a sewage pit that was used here???
It sounds like the pit is shallow if the pump wont kick in
did they install some sort of sump pump pit and then
install a toilet to it???
theonly thing you can do is get a pump like a Zoeller that you can
adjust the lever on it so it comes on quickly...
or if you already got a pump with two wires
comming off the pump for both switch and pump,
just go out and buy an adjustable switch and set it on low