Yes to both answers.
Adding that the Weapon training benefits the Rowdy, Sniper and Hitman.
And each level of the Coordination training gives 0.1% power, up to 100% of course. Power is calculated based on your total units supply, and as soon as you get to 253 your power goes down to 99%, but it goes down slowly, at 1000 supply your power is 98%
wow, very interesting on both answers... thank you very much for your informative answers @cfpg!