There are three (actually four since Plan B has two Options) Approved Player Selection Methods in the Operating Manual:
Plan A - teams retain returning players
Plan B - Re-Draft (two Options, a two part draft: all returners drafted first then new players drafted, or a one part draft: managers can select a returner or a new player but all returners must be drafted)
Plan C: Blind Draft (players names drawn out of a hat, by ages) - don't know ANYONE that uses this Plan.
Depending on which Plan your BOD choses to use draft order can be in reverse order of last year's finish (Plan A) or chosen at random (Plan B).
Also, Plan A uses the same order of draft picks each round (1,2,3,4, 1,2,3,4) where Plan B is serpentine (1,2,3,4 then 4,3,2,1).
As stated above, if you are using Plan A and a team needs to draft 8 or more players then that team gets ONE extra Pick at the end of Round 4.
That's a "brief" synopsis of the Player Selection Plans.
Obviously there is a lot more detail in the Operating Manual.
Your league President, Player Agent and the other BOD Members should have a copy of the Operating Manual and if you are a manager going into a Draft you should be able to ask to review a copy of it.