Further information would also be helpful. But some of the mechanics elude us. Your help might provide some new ideas or concepts. Counters are facing a hex corner. There are two front hexes, two flank hexes and two rear hexes.
Baggage have no orientation.
Groups are defined as elements pertaining to one same corps, touching at least one other element from the group, and facing in the same direction. The big difference from miniatures is the ability to rotate the counters as a group move. Isolated elements and LH or Ps groups can do more. Pivot is straightforward as a combination of one rotation, then outward units advancing to align with the pivot. Ps and LH pay just one MP for a 180deg turn.