gwentysomething,
I had my MMR booster shot at St. Lukes Bocobo back in 2014. My siblings and I were asked to get that vaccine. So, we all got the vaccine the same day. This year, when I and my wife (plus two kids) had our medical at St Lukes BGC, we were told that MMR booster shot is a requirement before submitting the medical results to IRCC. My MMR shot in 2014 was okay. My firstborn had the vaccine 2 years ago (we brought his baby book as proof). They had it photocopied. My youngest and my wife had their booster shot 4 days later. So, I had to bring back the vaccination certificate. I passed my medical on July 7th. My wife and my youngest son passed theirs on July 10th.
Anyway, I guess you dont have to worry about the vaccine. You passed the medical exam. Im not just sure if your uni/college will ask for your immunization history.