Assuming it has not sprung a leak & is pumping water somewhere it is not supposed to, start again.
This time leave all the taps closed & the water heater bypass on (so water cannot get into the water heater).
All being good the pump should pick up suction & pressurise the air in the pipes then shut off. Open cold taps etc. one at a time. A blast of air comes out then water. By the time you get to the next tap the pump should have repressurised the system. Open the bypass valve & fill water heater & do the tap routine.
Still no luck? Check the inlet side of the pump. Real easy for that not to be airtight if it was removed for winterising.
Inlet OK? Check the output side of the pump by slackening the fitting & turning the pump on.
Still no luck? You did put enough water in the tank didn't you? Next is the pump itself. Could be a split diaphram. Replacement kits available for some pumps. Might be less hassel simply to get a new pump.
Boat: 32' 1996 Albin 32+2, single Cummins 315hp
40+ night per year overnighter
2007 Alpenlite 34RLR
2006 Chevy 3500 LT, CC,LB 6.6L Diesel
Ham Radio: VP9KL, IRLP node 7995