Didnt the original LML of this age have a rev limiter so they have converted electrics to get past this?? If 2015 it would have to be euro compliant, was it Euro 5 by then? As the starter motor not working, well quite frankly just kick start it. If you want to investigate it further, although the wiring has been altered there should be a starter motor relay just above the battery, its a small plastic thing, on PXs its brown and it has a rubber retaining strap on it. Also if similar to PX you can check the fuse hasnt blown. When you hold clutch lever in and press starter button, do you hear a very feint click? If you hear the feint click the relay needs replacing, they are about £18.00 for genuine piaggio one. Likely too that if you do get your relay fixed you will need new battery. ALthough your horn might work with ignition on and engine not running, there wont be enough ooomph left in it to drive the starter motor, which is what i discovered with mine last week. New relay, new battery, all good.