You are mixing up two things. In Canada colleges are accessible by students at all times and you can even go to colleges that you are not studying in. Some colleges have 24 X 7 areas that you can study in. The first date is when the college will be physically closed and you cannot access and receive services.
If all programs in that college are starting on the 14th then it is ok. However if it is mentioned in the college calender that on the 5th the classes resume then you must stop working full time on the 5th even though you may personally not have a class untill the 14th.