All the equipment you really need is a small PA. There are lots of inexpensive PA packages around these days; tell us your budget and someone will help with a recommendation.
As for your band, you can't front a band playing drums. It has been tried many times by major acts, and it doesn't work. Karen Carpenter would play drums every now and then as a novelty (and she could play, no doubt), but if you are fronting a band, you gotta be out front
So you are playing keyboards and singing. To find your other band members, try bulletin boards in local churches, or the church bulletins if they will let you run a short blurb. Put up your number in local music stores.
Then rehearse. And then rehearse again. And then rehearse some more. One thing that kills me about a lot of kids these days is they are so scheduled with activities, they are lucky to get together once every two weeks. That works fine for experienced musicians, but newbies need to practice two or three times a week together, and every day on their own if they want to avoid sucking.
Don't worry about recording yourself. At all. Look around this board and you will see hundreds of people with small studios who rent themselves out dirt cheap. For the price of a half-decent mic, you could get a good sounding demo CD. You need to focus on rehearsal, composition, performing, and promotion (nods to Inno). You don't have time to waste learning how to record on top of that. Save that for when you are older and washed up
Good luck
