The kick start is via the transmission, ie the force goes through the clutch. So - with the clutch lever out - if you can kick the kickstarter and the engine crankshaft turns, the clutch is engaging reasonably well. With the clutch disengaged (lever pulled in) you should be able to kick the kickstarter down with very little resistance but the engine crankshaft will not be turned.
This just tests the clutch: if you can kick over the engine with the clutch lever out, but with the lever pulled in the kickstarter moves with no engine cranking... the clutch is pretty much OK and you won't learn anything by removing the clutch cover (except how to buy a new clutch cover gasket). If the kickstarter just moves freely regardless of the clutch lever, then the clutch is slipping and needs attention.
The electric starter drives the crankshaft directly. What you describe is normal - the motor will work when in neutral or with the clutch disengaged.
If the clutch seems fine I would remove the sump. First, you can see some of the transmission by looking in the resulting opening. Two, if the transmission has been damaged enough to cease transmitting, there may be some good sized pieces in the sump.
Also, try all the gears. The weakest link in the transmission is the drive dogs - they can just snap off if abused. If one set is gone, some gears will still work: ie you may lose first and third but still have second and fourth.