OK, Canada is a big old place, I assume you're a long way from the vet.
Do try and get her vaccination record from the lady who supplied her to you, you need to know which needles she has had and when. The rescue should be able to send you a copy of her documents (or her computer history) by post/fax/e-mail.
If they don't have them I would use the date of adoption as her key date for repeat boosters.
The shelter will have a vet on its books, do call them and ask if you cat bring Mimi back for a check-over when the vet is in attendance, as her eye is causing concern, and has been for two weeks. Hopefully they will arrange things for you.
Eyes are tricky and untreated damage can lead to blindness or the loss of the eye - so best to get a professional opinion asap.
Meanwhile, occasional wiping with sterile (boiled and cooled) water with a clean cotton pad may help her to open her eye, calm the irritation and help start the tears working properly to clean the affected eye.