Suggestions:
to 1.) Look at ladder and walk towards it. Walk forward = Climb up, walk backward, climb down, vault = drop from Ladder
to 2.) lowered gun should not be shouldered - gunstraps are there to let the weapon hang there and have your hands free.
to 3.)
walk to a ladder -> soldier should shoulder his weapon, because he isnt in a hurry.
run to a ladder -> soldier should let the gun hang by its strap and quickly grab the railing to climb fast.
Btw.: pistol storage should be faster aswell. The default is pretty slow.