360 start up problem

Its turning the motor when it does it(look at the balancer).So its engaging ( atleast some).you may have gotten a bad starter.Pull the starter and look at the gear if its worn try to reposition it alittle and see if it fully engages.You certainly don't want to ruin your flywheel/converter teeth.It sounds like its popping fairly fast ,like the battery is good.Try pulling all the plugs and shooting some oil in each cylinder and see if it turns easier.Is it a high compression motor?The best thing to do with a stored car is to pull the dist. and oil pump shaft,use a rod to turn the pump clock-wise to oil the bearings.