What activities should we set up in a chess club? I am planning to begin a chess club in the engineering college I study.
I am an average player myself, but enthusiastic.

My question is how should we go about it, once its up and running?

One thing I get in mind is to organize games between members.

There's also watching lectures, but who decides what lectures will we watch?

I don't know if there are any existing chess clubs in my city, though it is unlikely.
There are some government bodies which hold yearly competitions, and there are some institutes that offer tution, in neighboring cities.
Thanks
I run a chess club at my college. We have two meetings a week, 2 hours each, one run by myself and one run by someone else. We have a locker for our chess boards, mats and clocks and a meeting place in a lounge area that's not super busy but with decent foot traffic. We update our meeting times every academic quarter/semester to work around our classes and send out a survey to our email list to see when our members are available. 

At our regular meetings, we just play chess, it's very casual. Usually blitz 5+0 or 10+0. We switch players every few games. Sometimes we play bughouse if there are enough willing participants. Sometimes we'll look at a position from a game, an opening, or a puzzle/tactic if people want to or have something interesting to talk about. If someone doesn't know how to play we teach them, we're not popular enough to be exclusive. 

We have enough funding from the school to go to USCF tournaments in and around our city. Usually they're within walking distance, otherwise we carpool. We also sometimes host tournaments with $1 buy in.

People often say they would be interested in "workshops" to learn chess, but I don't want to host them.