If you play random mode, do u get all the achievement for protoss, zerg and terran meaning if u achieve the 5 wins and etc when playing that certain race in random?

no

actually you does..

when you random for protoss and head for a win, you get +1 for random and your protoss

sure or not? i've been doing achievement for race control, cannot get

Judging from your sig, you haven't even qualified into any league yet, of course you don't get the rewards.

you get achievements for race control when playing against AI too

Achievements for ladder and AI is totally different, correct me if I'm wrong

aww i could be wrong then

When you random, you get a +1 for random if you win. And you get a +1 for the race that you random into if you win.

So if you random terran 5 times and won 5 times, you just earned double achievement of 5 times random and 5 times terran.