That is still going to be sore. Some horses ignore mild soreness, other's... Well, they don't ignore anything! I would go easy clockwise until that heals, or he tells you it doesn't bother any more. Walking is ok, and if he is ok with trotting, then you could do some, not much though, and I wouldn't do anything faster. I started out with John Lyons, and I really like it.
For rearing, you can use a tie-down. I do when I'm training. If I am going to be trail riding alone, I also use it as Christy will rear occasionally. She is NOT allowed to rear or buck at any time when I am with her. If I am outside the corral, fine, otherwise no way. That includes on the lunge, free lunge or rope lunge. Way too dangerous. Even if she is just being happy, she needs to learn that this is NOT the place or the time to do that!
How I handle her depends on whether I know why she is rearing or bucking. If it is "joy of life" then I stop her, then start her agin along with "Ahrrrr!" And a "NO." If she is being bossy/challenging then I make her work harder. If I'm not sure, I go with the later.
When riding, if I can I will sit out the buck and turn her in tight circles. She doesn't push out, she only gets worse if you try. So, circle! For rearing, I try to pull her out of it, then get off and circle. Or jump off ASAP. She has broken my nose rearing up and hitting me in the face.
With the tie-down she can't rear as well, and can't hit me in the face, so I have more control. I use a rope halter under her bridle, and attach the tie-down to the halter. I also have a 12 ft. Line on the halter, so when I get off, I have 12 ft. To move her in, and/or move me away from her. (John Lyons halter
Takes time, and tons and tons of patience. Good Luck!