OK. I'm going to recommend a Digital SLR camera. They are almost always much better and certainly more versatile than a non-DSLR camera...especially if you want to get into this business.
I'll concentrate on Canon, because that's what I know...but the other brands are good as well. Go to a store and hold them, see which feels best to you.
The Canon DSLR cameras start with the Rebel XTi (400D) and the next model up is the 30D. Either camera will allow for great image quality, so it may be better to get the lower model and put money toward other pieces of the kit. You could also consider older models like the Rebel XT (350D) or the 20D.
For a lens, I usually recommend the kit lens (18-55) that comes with the camera because it's only $100 more. It's not a great lens that's a great price. That lens won't be very good for weddings though. I would recommend either the Sigma 18-50 F2.8 or the Tamron 17-50 F2.8. The advantage to those lenses...is that they have a maximum aperture of F2.8 for the whole range...which is almost a necessity in a lot of wedding situations.
I would recommend that you have a flash...the Canon 430EX would be the ideal choice to go with either of those cameras..on your budget. If you are a whiz with flash photography, you could get by with an off-brand Auto flash...but if not, the Canon flash will probably be most helpful.
I would also recommend a fast prime lens. The Canon 50mm F1.8 is a great deal at about $70 US. Depending on your style...you could consider a shorter or longer prime lens. The 85mm F1.8 is superb. There are also 24mm, 28mm, 30mm (sigma) and 35mm lenses that would be ideal for low light/shallow DOF.
You will need plenty of memory. I suggest 6-8 Gigs at least...it will depend on your style and how much you shoot...but more is always better.
At least a couple batteries for the camera (check out
www.sterlingtek.com )
and batteries for the flash.
You might want to consider a flash bracket, so that you can keep the flash above the camera while turning the camera to portrait orientation...but that will cost a fair bit, once you figure in the bracket and connecting cord(s).
You will still need back up...but you won't be able to buy two of everything with your budget. You can rent (or beg/borrow/steal) but you will at least need two cameras and flashes...those tend to crap out the most.
I'm sure there are other things...but this should be a start.