Where is it leaking from? Could leak from the radiator, hoses, or water pump.
Non, replacing a water pump will not cause a hose to leak.
It rusted out
water in passenger floorboard, where is the hose that would cause this?
blown head gasket
Yes water cause leaking
A leak in the supply pipe.
It would be possible to cause an oil leak while replacing the water pump.
water pump, oil, water, engine coolant....main cause would be engine coolant, just check to see if you have a leak.
If the leak is bad enough i believe it can but i would check your valve cover gasket first.
If you have a new pressurised water system there is a possibility that the added water pressure could cause a leak.
Water pump gasket, head gasket, water tube,
a small evap leak would not cause your car to jerk.