I've been free lancing for twenty years and I've never done a wedding or similar event. The main reason being that it's a tough market to break into, especially in larger cities. Weddings are a genre unto themselves & and your description of your work hasn't done one thing to prepare you for it. And then, if you do start making a bit of money, you'll be pegged as a wedding photographer and have trouble getting into other work.
To be a successful free lancer, you need a vision. Don't think you'll have anywhere near the income of a broadcast TV professional, so plan your vision around the kind of video you absolutely love to produce. Then you can put your heart into the productions and let the money take care of itself. If you're looking to specialize in corporate or industrial video, start making the connections before you leave your current job. The best bet is to contract to do work in your spare time to establish contacts, create a demo reel containing video similar to your client's needs and purchase your equipment while you still have a job.
In my career, the biggest problem is that I'm infinitely better at producing video than I am at selling video. As a totally independent producer, I've spent more time trying to find work than actually doing the work.  Until the contacts & my reputation start heaping me with repeat business. Unfortunately, I'm producing mostly for governments & non-profits and after I've been there for a while, they start establishing in-house production teams. So I'm back on the market for new customers. So my best advice to you would be to get serious about the jobs you want, then start going to them.
When I first moved to Des Moines, I started doing dance recitals & similar events by approaching folks with FREE production services in exchange for a guaranteed minimum of DVD purchases. In fact, I just wholesale the DVD's to the studio & they sell them to the families so I don't have to worry about sales taxes or bouncing checks and having to take credit cards. I found owners understood the value of video in terms of a retail product. Once you've worked with them, you can bring in new ideas and expand your services (and salary.) But trying to sell video production itself is a tough nut, so consider selling the products of production, DVD's or cable TV shows.
But I am not an event producer. So my next target was to get involved in city government videos. Des Moines had virtually no local video, except meetings. And the couple of shows they were trying to produce were shot without lights in the council chambers. First I had to volunteer to help with those shows. Then I got assurances that if I produced an event video of a city activity, the would put it on the channel. So I went out and shot a story on the Mayor's Ride for Trails. And I kept offering ideas to improve the look of the channel. Like producing a Halloween safety PSA using Digital Juice animations & music. It took me over 18 months to work myself up to producer of the Mayor's show, now a field produced talk show. And start up a couple of other talk shows to share government activities with the city. Then they wanted a full time, in-house producer and I moved on.
Sorry I'm going on so long. But having the tools & talent to make great video won't get you a job. But having a direction you want to go can make all the difference. Don't get stuck competing with people less talented than you. That's the problem with weddings, an idiot can shoot them and the customers aren't impressed by audio quality or color saturation. You are adding value no one cares about. Work where your skill set stands out, maybe recording oral histories for the historical society. Or doing free lance feature stories for TV news & talk shows, CNN has several free lance stringers you'd recognize right away.
Good luck (and I'm hoping you won't actually need any luck!)
