You found the scrambles!
Those were some really awesome solves to watch. Smooth turning, few pauses. I would agree that it's TPS that could be improved first, especially in the LL. Then the EOLine->F2L transition, maybe?
Yes, you should work on your cross. Practice to use as much of the 15 second inspection time as possible. To do that, give yourself infinite inspection time to find all four edges and be able to resolve the cross without looking. Crosses should take around 7 or 8 turns, maybe more if you want to...
I can see you have some good habits forming, like solving with cross on bottom. You're even color neutral?!
First thing: while doing M2, do M2', triggering with your ring and middle fingers (or your pinky), but not with your index finger. You want to split the burden of your fingertricks between...
The solve video link is broken.
The inverse of the usual algorithm? I've been using this algorithm since 2007. It's helpful to know U-perm from as many angles as possible because they're the best to exploit for ridiculous singles.
Less. I like getting to see the entire LL at the same time because that connects better with how I see it while solving. When it's broken into to discontinuous sections, it's more difficult for me to recognize.
The F2L also contains no useful information, so there's no reason to show it.