When you go back to slow work, exaggerate finishing your turns coming off of all 3 barrels. Use your leg and push him over so you're heading straight away from the barrel, even cross over that straight line a bit a few times, just exaggerate finishing that turn.
Start watching this video at 0:13 and you see how she was going to leave that barrel crappily like she does almost every other time in that video? I put my leg into her and made her move her lazy butt over to where it should be.
I didn't exaggerate finishing the barrel like I described above, but I'm sure you get my point! :)