a) Using a mouse, lines should come out the same width every time. If the ends are too long, I just use the eraser tool carefully. Like Jet said, you can sketch your line art on paper and then take a picture of it, open it in Photoshop, and trace over it.
b) As for colouring, I use the brush tool. Since you can change the width of the brush, you can colour wide areas very quickly and small areas with great precision. The fill tool is cumbersome to use because of the selections you have to make, at least for me.
c) I don't understand what kind of background you're going for. If you want a simple solid background, you can use the fill tool to fill in a solid colour or the gradient tool for well...gradients.
Since you've already started the line art, I think it'd be best to post what you've got so far and then ask for help on specific things. Then we could give you more specific help
Of maybe if you don't post it, outline the specific problems that you're trying to overcome.