Being on employers side, I give little-to-no attention to education. Seen MBAs with no critical thinking or skills whatsoever and dropouts with very diligent and knowledgeable approaches.
For me, resume is not just a boring list of what you did, but also the way it is written - lucidity, points emphasised, etc. It all speaks loudly of personality.
And yea, if there are grammar mistakes it most likely will go to bin. Not because I particularly value grammar (which I do not) but because resume is usually supposed to be diligently written/reread by the candidate. If he/she didn't bother to do that properly - the damn thing that potentially land him/her job - this negligence says for itself, further projects, had there been any, will not be cared properly.
That's my opinion which is in no way representative or absolute in it's truth. I'd like just to pinpoint that there may be few opinions on the matter.