Yes it sure does. The jack works as described. I had an older jack that I just replaced with the J&S and I am very pleased with the way the J&S is built and how solid the bike is when it is on it. I would highly recommend one!
If you mean, does it lay back down on the kick stand? Yes. If you're talking about it falling off of the stand when raised, I didn't see that in the video.
Absolutely. I use mine all the time. I check the air in the tires weekly with it and it is way easier than the old way. I wash it on the jack. If your looking for a jack,spend the money on the J&S and you'll be done with it. You can let it down so slow you can hardly tell it's moving.
best accessory bought thats not on the bike, smooth well constructed, when i first got it put it together in about 15 min. jacked the bike up and rolled it around the garage, but also found out my garage floor wasn't level, it stuck in a couple of places