It sounds really interesting as an idea!
As a long-time Dokuga reader, they're absolutely right about the grammar, it can be offputting, as it adds difficulty to reading the fanfic. Don't worry though, it's all practice!
For the title I would suggest:
-"Ticket to Destiny" (to play with the whole idea of it starting at the movies, her ripping up the ticket, etc.),
-"The Turnabout",
-"Mysteries of the Heart"
or "A Cab Ride Named Destiny" (ignore that last one, I just watched A Streetcar Named Desire
).