I don't think there will be any references, but there might be.
No, neither of those will happen. Jasmine will stay a gym leader.I think that Jasmine will appear at the Battle Frontier and she'll be the Frontier Brain, alongside Giavonni
i think after you beat jasmine she says she needs more training to beat you again then leaves her gym
Jasmine is not going to leave. Gym Leaders don't leave. They stay in their gyms and rot away.