I'll never forget my first run. We had practiced for months and my gelding ran into the arena (we were both SO nervous), made a big circle in the middle, and ran back out. I was like...WHY WAS I NOT MORE PREPARED?? Haha
You look good, though! I would suggest maybe opening up your pocket more on the 2nd barrel. My teacher loved Josey, so I'm big on the perfect circle method. And yes, agree with the ^^ comments. Hand off the horn until you shut down for your turn.
Are your reins knotted? I couldn't tell. But the knotted reins really helped me to remember where my hands should be.
Also...Great job on coming into the alley!! So many racers blow into the alleyway and that is SO dangerous. I love how you brought him up nice and calm. I always make my horses make several quiet turns before letting them begin. Good job!