All three of the bits look like some form of torture. I know that in the right hands they aren't severe, but still. I don't think that any horse needs that much of a bit. That much leverage shouldn't be necessary with any type of horse.
The first bit is a combination bit. It looks like a cheaper version of the Martha Josey Million Dollar Bit. I haven't ever seen a barrel racing bit used for english before.
The second and third bit are both the same gag bit, but the second looks like it is being used wrong. It is rigged incorrectly. They both look like the Happy Mouth Jointed Mouth Hackamore Bit. I don't think that you are supposed to use two sets of reins with gag bits. The reins should only be on the bottom ring so that the bit isn't as rough on the horse's mouth.
Willie's Favorite (Big Red) - 2004 TWH Gelding | Hoss - 2005 Quarter Horse Gelding
RIP Justice (1974 - Jan 5, 2012) Gone But Not Forgotten