So based on the videos you provided for f2l, you have a pretty good background knowledge of advanced f2l but it probably isnt very "fluent" yet. I suggest checking out Paradox Cubing's video on advanced f2l here:
. After you learn that, if you want some more specific f2l tricks that may come in handy go here:
. However, these are quite a bit more advanced and may not be what you are looking for.
For cross, I also recommend checking out ParadoxCubing's video on advanced cross:
. Practice it and remember cross should be rotationless and ideally done in 0.5-3 sec. Just keep using the tricks in that video and practice like so:
1. Scramble cube and look around the best way to do cross. Give yourself as much inspection time as you need, speed will come with time.
2. Execute what you planned as fast as possible and if your cross is not done, analyze what you did wrong. Just focus on one step at a time so do not finish your solve. Just scramble again, do cross, scramble, cross, etc. You can also do the same with cross and f2l.
3. As you get more comfortable with one looking your cross you can start trying to find the first f2l pair in inspection.
Also, dont worry about your times with the advanced method. You will be slower than normal but once you master the advanced method it will be a lot faster. I suggest you just practice without a timer for a while and see the magic happen.
As for OLL and PLL start learning full OLL and PLL when you hit around 25 sec average but that is more long term so focus on cross/f2l for now. Good luck!