I have recently been elected as Emir of our college Islamic Society. I have heard a lot of different opinions to what the role Emir is and I'm not totally sure of what my role includes. So I was hoping (Insha Allah) that someone can give me an accurate answer to what my duties are? Please use Qur'an and Sunnah, if possible.

Praise be to Allah, the Lord of the World; and blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
It is among your obligations towards those students who appointed you as their leader to manage them, according to the Shariah. It is your responsibility to inform them of the teachings of Islam and arise among them keen interests to follow the Shariah. Your activities, goals, resolutions, etc. should always be according to Shariah. Any disagreement that may arise should be solved in the light of the Islamic Shariah.
Moreover, you should perform your responsibilities to the best of your ability. Be sincere to serve your fellows, deal with them kindly, gently and with full justice. Whenever you or your group have any doubt about something or any ambiguous matter refer it to some authentic Muslim scholars known for their knowledge and piety to get a solution for your query.
Allah knows best.