2) How do I get the taming skill?/tame a pet?
Only certain professions are able to tame things.
Warlords tame Humanoids with Slavery (Fighter > Warrior (Level 50) > Berserker (Level 350) > Warlord (Level 650))
Beastmasters tame Beasts with Beastmastery (Archer > Scount (Level 50) > Beastmaster (Level 350), or Archer > Tracker (Level 50) > Hunter (Level 350) > Beastlord (Level 650))
Necromancers tame Undead with Necromancy (Caster > Shaman (Level 50) > Necromancer (Level 350))
Warlocks tame Demons with Demonology (Caster > Invoker (Level 50) > Summoner (Level 350) > Warlock (Level 650))
Druids tame Plants with Druid Magic (Hermit > Diviner (Level 50) > Warden (Level 350) > Druid (Level 650))
Druids tame Insects with Druid Magic (Hermit > Diviner (Level 50) > Warden (Level 350) > Druid (Level 650))
The Hermit > Druid line is an extra profession which can be gained with the Jurrasic Wars Expansion Pack, included with a game subscription.
Myth and Legends is only accessable through items.
Ethereal Trappings is only accessable by buying the new bought extra Ethereal Bindings for 2HC.
All of these are listed on the Library>Professions>Profession Evolution list in the game menus.
If you do not have the skill you cannot do it unless you have an item that gives you the skill.
(This was taken off the Forum from Fenrir, all credit goes to him) (Edited a little to state how to evolve and to match changes by Decius)