What is the most logical next event?

How to lead climb indoors
Check with your local climbing gym about their lead climbing policy.
Most climbing gyms require you to have a lead card or certification, but the specifics of how they carry this out vary between facilities. In particular :
Most gyms offer lead climbing classes to educate the beginner.

OPTIONS:
(A). But you might need to be able to climb at a certain level, or have certain gear, before joining the class. If you're already an experienced climber, ask if you can demonstrate your lead climbing ability without having to take the entire class..
(B). As the leading gym, you'll need to be fairly knowledgeable and prepare yourself to live in the presence of new members. Ideally, you should take on leading climbing duties only on days when you're not at work..
(C). If you are unsure whether or not your gym has a high enough lead climbing class, take a class at an outdoor climbing gym. Some open gyms will offer ground climbing classes to prospective candidates..
(D). You'll have to hold your lead card in place to avoid potentially illegal legal action. Perjury and prosecution are banned in indoor gyms..
(A).