Base running dilemma

[LDUB]

Reading this made me come up with another sistuation.

Play starts the same way, R1 on first, ball is hit, R1 past second when ball is caught. He misses second on his way back to first. Now lets say the ball dosen't go out of play. R1 returns to first and realizes he missed second on the way back. So he runs back and to second and stands there. I would have to think this is a legal play.

It is the same as R1 on first missing second on his way to third. So R1 realizes he missed second and runs back to second. Thats legal.

Because a runner has missed a base, and then touched the next base, does not mean he can no longer return to touch a previous base. Both of my examples were the same thing. The only difference is that one runner is running foreward on the bases and the other is running backwards.