Once the carburetor problem is fixed, trying to kick start it is a good idea.
Before doing it though I would check the condition of the spark plug. Maybe just go ahead and replace it first so that shouldn't be an issue.
As for the electric starter on the new UCE RE's there are several interlocks to keep it from running unless things are correct.
The neutral light must be on. The Kill Switch on the right handlebar must be in the run position and the key must be on.
If the transmission is not showing a neutral light, pulling in the clutch lever will by-pass that requirement.
As I say, this is on the newer UCE models but I would think the AVL would be similar.
If the electric starter still won't operate, follow the heavy battery cable to the starter solenoid. It should end there. Another heavy cable should run from the solenoid to the starter motor.
Bridging the two heavy solenoid terminals (if they exist) with a screw driver should provide full battery voltage to the starter causing it to try to run.
If it cranks the engine things are looking good.
If it goes "whirrrrrrrrrrrrrrrr" without the engine cranking the starter sprag clutch may be bad.
Unfortunately, this is quite common with the electric starter on the old Iron Barrels and on the AVL models.
The kick starter should work though if you remember to make sure the transmission is
not in gear by first rotating the rear tire while the clutch lever is untouched.
Also, do not pull the clutch lever in while using the kick starter. The clutch must be engaged for the kick starters power to be transmitted to the engine.
EDIT: I fixed the NOT IN GEAR comment on the transmission.
I screwed up and said it should be in gear which is obviously wrong unless one wants to see their motorcycle disappearing down the driveway.