I got a couple of them old skis.
You confused me with terminology of would not crank, then good spark and fuel. Do you really mean would not start, but still turns over with starter?
Some basic things with these old skis ...
Was it sitting unused for an extended period of time?
Do you know what injector oil is in it?
Old gas is no good.
Biggest issue is the fuel system; generally needs to be cleaned out from tank to and including carb.
I always connect a temporary fuel source with 40:1 pre-mix directly to the input to the fuel pump for initial run tests to eliminate problems in the fuel delivery parts.
Ok to do short runs out of water without any cooling; I generally never run more than 30 seconds, but some say it is ok to run up to a minute.
You do not indicate which model you have, SP (single carb) or GT (dual carb).
Post a couple pictures, especially of engine compartment.
Fire away with questions, we got answers.