Dear friend: If you were out of status about 2 years, there is very slim chance that you will get visa for masters. At least you have to wait 10 years to get your history to be old enough. Yes, when you filll the application for visa, you must give your information that you were in USA from this date to this. If you do not do, that is negative factor. They do check all the record before they come to you for the interview. Yes, they do keep the record of all the students here and there. One of my cousin over stayed about a year after his Graduation. He went to nepal and after 6 months, he applied for canada. Canadian embassy reviewed his application of visa for 45 days and finally approved it. Now he is in Canada, BC. He is doing fine and keeps telling me that he has almost the same kind of study and life style over there. Canadian Embassy checks all your US background history, if you do not have any negative record, you should be approved for the visa if completed the required documents. US School Graduate candiate is always in their OK list. I am not discouraging you to apply for usa again, just giving an idea. You may try before or after you try for canada.