3,2,1,2,3,4,3,?

0,3,2,3,2,3,4,?

First question: are the series related?

How about this:

First series: imagine a pendulum with a 1 at 12 o'clock and 2, 3, 4 at 7, 6 and 5 respectively.  The arm is at 2 and recieves a strong clockwise hit so it circles up and fully around past 1, then settles down into an oscilation: 2, 1, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, ... and eventually settles at 3.

Second series: Similar pendulum with numbers 1 through 4 at the bottom.  This looks just like an oscillation. 3,2,1,2,3,4,3,2,1,2,3,4,3,2,1,2,3,4,...

Third series: I have no idea.