Yes, the Max/Min damage definitely adds to Archery. (Just look at how the Range Damage range increases).
If you didn't know, you must equip a range weapon to see your Range Damage range.
However, for magic, there is a formula that shows it will add, but the difference is negligible.
Quote from Wiki:
# For Bolt magics, this is calculated by:
* Bolt Magic min Damage = Spell min damage + Minimum damage enchants*Spell Damage Constant + Wand min damage + Int bonus
* Bolt Magic max Damage = Spell max damage + Maximum damage enchants*Spell Damage Constant + Wand max damage + Int bonus
# For Adv magics, this is calculated by:
* Intermediate Magic Min Damage = Spell min damage + Minimum damage enchants*Spell Damage Constant + Wand min damage/(100-STR Lv)
* Intermediate Magic Max Damage = Spell max damage + Maximum damage enchants*Spell Damage Constant + Wand max damage/(100-STR Lv)
* STR Lv refers to Ego Strength Level. This is assumed to be 0 for non-ego wands.
# The Damage Spell Constants are as follows:
* Icebolt: 0.07
* Firebolt: 0.38
* Lightningbolt: 0.42
* Ice Spear: 0.1
* Fireball: 0.48
* Thunder: 0.6
Found
here
As for alchemy, I would say no since there is the +elemental max enchants. However, it is hard to tell the different between adding no damage, and adding very little to the point it is negligible amount of damage.