Heres 2nd video I just took this morning. You can feel/hear gas valve click. I didnt measure V yet, but appears to be going thru the proper steps up until the control valve. It clicks, waits a few seconds then igniter shuts down.
Sounds like the gas valve is kicking-in at both 1:33 and 2:12 (of course I could be wrong), but from what I can see in the Manual it's supposed to do that 4x, then give you a "6+1" code (middle of page 51).
Are you shutting it off (releasing the door interlock), or is shutting down on it's own?
Also, did you do any work on your gas line over the summer? Maybe your line just needs to be purged of air. (Got a couple pipe wrenches? Power down the furnace, and then CAREFULLY AND SLOWLY crack open the union located on the outside of the unit to purge. You'll know when you're done purging, as you'll smell the gas.)