Seeing as you have a big screwdriver, one thing you can try is to (carefully) short the two big posts on the starter relay. If the engine turns over, you know the starter is working.
After that, there are a couple of interlock switches which might prevent starting. If your neutral light comes on, the neutral switch is probably ok.
There's a switch at the clutch which may have failed or become disconnected.
Finally, maybe the starter solenoid has given up the ghost. All assuming your battery is ok.
Trouble shooting is easier if you have a voltmeter.
Here's a drawing that might help:
http://web.ncf.ca/ag136/junct2bnewc.gif