To obtain a brokers license in NY, you need 2 years as a sales agent and you need to have made some sales. As a guideline, the objective of getting a brokers license in NYC is to either lead a team, be an Office Manager or open your own brokerage. If this is not your objective, then why are you getting a brokers license.
As for "what activities may I do to support a broker" - the ONLY activity that your broker wants to see is closed sales. Nothing means more to a broker or Office Manager than closed real estate sales. This is what makes money for the brokerage and all the brokerage is interested in is making money to survive.