Nice jumping, 6P!
First off, if you're trying to get a free takeoff, then we have to SEE a free takeoff. Kind of hard to see it with that blue box in the way ... and the front bun. Ask your cameraman to get the right angle to catch the takeoff foot.
Jump 1 ... Judging by the lead knee, it's not horz before the pole starts to bend, so NOT a free takeoff. Hand positions and body angle are good. Nice stretch in the trail leg on the next frame. However, it takes you 7 frames after that to pass the chord. In the first couple of these frames, you seem to be "frozen". Maybe you think you're "completing the takeoff" by stretching more, but I don't see any further stretch. All I see is a pause in the C. That's a passive state that you need to get rid of, as all you're doing is letting your so-called "natural swing" swing you towards the pit. Instead of that, you need to ACCELERATE your downswing, to pass the chord sooner, with a faster, stronger downswing. You know that I've told you this in the past, but this is a new year ... and I must say that I think you're getting there ... but still lots of room for improvement in your downswing ... both in how quickly you START it ... and how quickly you DO it. Once you get this, you'll find that you "beat" the pole to the chord, and you'll have a much easier upswing/inversion after that.
Is it my imagination, or are you hunching your top shoulder on this jump?

PRESS and SQUEEZE. Your bottom arm looks well-placed after takeoff ... collapsing correctly.

You should try to drive your chest thru a bit more, tho.
Back to your plant, there's a couple frames where your bottom arm is fully stretched, as if you're reaching for the box. This is unecessary, and just puts you off balance ... and causing you to twist your torso. (You do square up OK after that, tho.) It's also a passive state that you need to get rid of. If even for a split second, you're HOLDING the pole in that position ... instead of letting it drop ... weightlessly. Instead, reach more UP with both arms, timing it so that the pole hits just as your top arm becomes fully stretched. The bottom arm need not EVER be fully stretched.
Your swing is actually quite good ... other than the downswing probs that I already mentioned. It's not fast/early enough to do a full extension tho (and I realize that this is just a very short-run drill), so you slow down into a pike ... and have quite a few frames in the "dreaded flat-back" ... 6 to be exact. You let the trail leg catch up to ... and pass ... the lead knee. No reason for that. Your lead knee should stay ahead of your trail leg ... for more time. However, I like how you don't tuck/shoot ... instead your "continuous motion" to full extension is FAIRLY smooth ... except for when you slow down into the flat-back. You should be "dropping your shoulders" (i.e. not shrugging or hunching them) throughout the upswing. I don't see that. Instead, I see you looking at the bar. If your top arm is fully stretched (and bottom arm almost fully stretched) during the upswing, you shouldn't be seeing the bar. Instead, you should be looking straight up.
Jump 2 ... more of the same, except you were under more on takeoff, causing too much of a backwards lean in your C. This gets you to the flat-back far too early ... and your hips aren't ready for it. I count 5 frames in the flat-back. Looking at your landing position, I think you need to get more depth into the pit. It's not bad ... but I'd like to see you land more in the center of the PLZ.
Jump 3 ... a little better forwards lean on takeoff, but you were still 2 frames away from a free takeoff ... judging by your lead knee and the pole bend (since I can't see your takeoff foot). That's actually quite good of you to have such a good forwards lean even tho you're under that much!
Still no chest drive. Not even a hint of one. Other than that, nice C and nice swing tho (other than issues already mentioned). You must be doing some highbar work!

Six frames in the flat-back ... and then a bad flag-out.
I'll stop here ... enough points for one vid. Most of my comments apply equally to all 3 vaults ... I just mentioned them in the vault where I thought of them ... you can do your own cross-comparison ... that would take me more time. I'm just giving you initial ... off-the-cuff ... observations. Take them for what they're worth.
Also, I wouldn't read too much into you having 6 flat-back frames in Jumps 1 and 3, and only 5 in Jump 2. It's hard to define when the flat-back starts/stops, so I'd say they're all about the same. If I counted them again I might get a slightly different number. But the main point is that 5-6 flat-back frames is too many ... something to work on. As you know, it's everything you do in your run/plant/takeoff/downswing that pre-determines how well you'll PASS THRU the flat-back position. Get it down to a single frame and you're there!

No comment on your plant/takeoff JUMP ... yet. It's probably not hard (vigorous) enough, but since I can't see your foot, I'll refrain from saying any more.
In summary, I'm quite impressed with your progress over the past year!
Kirk
Run. Plant. Jump. Stretch. Whip. Extend. Fly. Clear. THERE IS NO TUCK!