If you have lights and your motorcycle will start at the solenoid with screwdriver would the solenoid be bad?

That's the most likely reason, yes a bad solenoid. I like to go in order to diagnose a problem so to get to that decision I'd start by : Kick the engine over or hit the starter button and turn the engine over. If it does not turn over, either the starter or starter gears are bad, transmission is stuck, or the engine is stuck. If the starter solenoid clicks, but the starter does not turn, check the charge of the battery. If the battery is fully charged, use some heavy jumper cables and connect the positive jumper cable directly to the starter cable. That's the big, thick, cable going from the starter solenoid to the starter. When you make the connection, there will be a big spark and the starter should turn. If it does, the solenoid is bad. If nothing happens, the starter cable is broken or the starter is bad. Try connecting directly to the starter motor, if possible. If the starter turns, but the engine does not, the starter gears or starter clutch is bad. If the starter does not turn, either the starter is bad or the engine is stuck.