You can check for codes, but there might not be any since the battery was dead for so long.
Anyway, I can almost guarantee that either the PTU or CAS connectors not making good contact is causing this. Have someone try starting the car while you wiggle the CAS connector and see if it tries to start. Do the same thing with the PTU connector(s). By the way, does it have a old or new style PTU?
For reference:
Also, Z1 sells new connectors for all of these things:
CAS connector
Coil pack connectors
PTU connector