You said you have some work experience and some time in between yr 3 and 4.
While your stats do not scream "instant admission", if you can convince the admissions committee that your work experience has allowed you to mature and develop skills that will allow you to excel in law school and as a lawyer, you might have a shot. You said there was a big jump in your GPA, see if you can draw a correlation between that jump and your work experiences.
In terms of your 160, while a 5 point jump is possible, you shouldn’t count on it, and you’re really not doing yourself any favours having people speculate on your chances of admission based on an LSAT score you do not have.
I would suggest you focus on your work experience in order to set yourself apart from other candidates. If you have the time, trying to improve your LSAT will not hurt, but don’t count on it; there would be more value added in a really strong personal statement and recommendation letters (not required for UNB but they will consider them)