HELD BY THE HORN:#During the beginning of your turn, give Boromir an epic action; place up to 1 action token per 200 points of the game's build total on any opposing characters within 10 squares and line of fire.

Just to be sure, if I place 1-2 action tokens on an opposing figure, will that action result in a push? And if they already have action tokens on them, does it result in 1 unavoidable damage?

Yes it does.

No it does not. That is something for Incapacitate and other special powers that say so.