Are fees needed for a drama club, especially if you're just starting out? I've seen drama clubs with annual fees of no more than $10 with $7 for returning members. The fees should be nominal - just enough to pay for paint and other simple supplies.
First things first, you will need members.
You'll have to have some sort of idea regarding your productions. What kind of plays will you put on? Drama? Comedy? Mystery? Musical? A lot of what happens will have to be based upon student participation AND casting.
You can't put on West Side Story if you don't have anyone who can play Maria. You certainly can't put on a musical if you don't have anyone who can sing.
If you're taking over an existing drama club, check to see what resources they already have. Are there existing members? Are there scripts? Ar there costumes, backdrops, or props?
If you don't have lots of props, costumes, and backdrops, then keep your first productions simple. Plays based upon contemporary settings will be a lot easier to produce than plays with historical themes.
Once you have members and have selected a play that's feasible to implement, it's time to start casting.
Members will have to audition for their parts. Use this as an opportunity to also do some teaching. Focus on delivery, body language, clarity of voice, and so forth. Be positive! Offer constructive feedback. Remember - this is a club! It's supposed to be reasonably fun.
Don't worry if there aren't parts for everyone in your play. You WILL NEED someone for music and sound effects, lighting, and backdrop creation/design. In between scenes, someone will have to change the props and backdrops. You may also want to have someone in charge of costumes so that there's not a lot of fumbling around back stage with actors and actresses looking for bits and pieces of their wardrobe.
Drama clubs can be loads of fun but as the producer/director, you'll be the person jump starts this activity by "making things happen." The students will look to you for leadership but once casting calls have been completed and everyone has a part whether it's acting or support, you'll be surprised at how quickly things can come together.