But I would definitely push DEEPER in your turns before you ask your horse to turn. Indoor arenas will often give a horse the tendency to turn too soon, so you've really gotta watch it. He loses most of his momentum and speed in the turn, which slows you down. Don't let him turn too soon.
And is he NOT in shape right now? (Since you said you need to get him back into shape.) My horses personally don't see the barrels unless they ARE in shape, because you increase the risk of injury when asking a horse to run hard that's not fit to do so.
∞•*˚ Βгįťţαňγ ˚*•∞
It is not enough to know how to ride; one must know how to fall.