Hmm - the SQ-A will fire (at fastest shutter speed) without a battery so I'd be disinclined to suspect the battery.
The camera can normally be cocked and fired with no back installed by turning on the multi-exposure (turn lever horizontal) and cranking. Of course if it's now in some in-between state I suppose all bets are off.
I believe that's the condition the camera is in. Its almost time to break open the tool kit. Right now still concerned about doing more damage. Please keep the suggestions coming. Thanks for your input.
Skill in photography is acquired by practice and not by purchase. - Percy W. Harris