Return of Reckoning

The tooltips of each WL's "aspect" (Trained to Hunt, Trained to Kill, Trained to Threaten) say it grants the pet special abilities.

Is there a place where these abilities are documented (damage, cooldown, etc.) ? Also can these abilities be triggered by the player ? Has the pet some baseline abilities more than auto-attack available in every "aspect" ?

Those abilites should be shown in a separate Pet UI element, some profiles disable it so check hidden UI elements.
in terms of binds, yes you can manualy triger them by seperate key binds, there was a way to disble pet AI from using them on its own, but can remeber haw to triger it, i know ppl used to use loyal pet addon for it.