It is a college so that is unlikely to happen (not going to say impossible because i did knew someone who was 17 when entering university).
Jade doesn't really need this, any evidence that Burke is sleeping with students would be enough for him to suffer some serious consequences. Of course the same is also true for Jade and i get the feeling this may be a plot point for any protagonist who showed evidence of having sex with her to Tommy the junkie and the other DIKs.
Very likely as i mentioned in the second part of the post. Still only the dev trully knows.