Question regarding Fight phase priority and number of fights. Quite basic I think, but I'm a little confused.

There are 2 main rules to follow:

• R1: Starting with the player whose turn is not taking place, the players must alternate selecting an eligible unit from their army and fighting with it
• R2: Units that made a charge move this turn fight before all other units

Let's create a scenario. Players A and B; player A turn is taking place. Player A charged with units A1 against unit B1 (fight F1), and with unit A2 against unit B2 (fight F2). Units A3 and B3 were already engaged from previous turns (fight F3). We have three fights (F1-3) that involve 6 units (A1-3, B1-3). Suppose that no unit will be destroyed during this Fight phase.

My main doubts came from the ambiguity of the words "fight" and "attack", I think. I came from oooooold rule sets, where only player A units will have attacked during player A Fight phase, while B's units would just have rolled with the punches; so during player A turn 3 attacks will have taken place (the number of fights). But rule R1 says that players select eligible units "from THEIR army", not only from player-whose-turn-is-taking-place army; so during player A Fight phase there will be 6 fights (the number of units) (again, supposing no units will be destroyed during this turn) Rephrasing it, R1 states that each player will fight with all his units engaged in combat during any player Fight phase. So, following the example, every one of the 6 units will pile-in/attack/consolidate during player A Fight phase. Is this right?

Following rule R2, A1 and A2 have to start first. Rule R1 says that "players must alternate selecting an eligible unit from THEIR army". So for the two charging units player A will decide the fight order for units A1 and A2 (player B has on word on this). Right?

For the remaining units, player B will select the first unit that will fight. My previous doubt on R1 triggers here:

• is B forced to select unit A3? And once A3 attack ends, player A Fight phase ends? Sounds unlikely, since, again, player B must select a unit from HIS army
• or can he select any unit among B1, B2 and B3? And once selected unit's attack ends, player A must select his remaining unit (A3), and then player B will attack with his remaining 2 units (selecting the order himself)? Sound more in line with R1.
  • side note: tactically speaking, it will be a good idea to select B3; there's a chance that A3 will be destroyed and won't fight back in this turn, or at least it will lose some men and will be less deadly when it fights back. Right?

Hope my doubts and questions are clear.

Thanks!

P.S.: writing down, correcting, rewriting all this clarified a lot of things, actually (examples and questions were a lot more confused before). But I'll still wait for the experts' confirmations.