Yea there are chemicals that can remove stains. In fact lighter fluid/naptha can remove oil stains. But I don't think it's a good idea to soak an entire oil stained guitar into a huge tank of naptha. They kinda do this for furniture though. Oh well haha.
Actually, if you want to finish your guitar in an entire solid colour, you don't have to even remove the clear coat though you can if you want to for tonal reasons ie. thinner finishes are tonally more resonant in theory. The risk-free way is to use grit 1000 sandpaper and go over the clear coat. This has the effect of removing the gloss from the clear coat so you get a flat satin finish. In essence, this creates little ridges and furrows in the finish so that the new solid colour coat will adhere to the previous coat better since the surface area is increased. Then after you have put on the colour coat of your choice, do the same by scuffing the finish after it has dried. Then you can apply the clear coat to protect the colour coat and to add that extra depth in the finish. Buff the clear coat, and you're done.
Points to note:
1. A better preparation job always yield a better-looking finish. So ensure that the surface is as even as possible before spraying any layers of paint.
2. When you spray your finish, do it horizontally for the first coat, then vertically for the other coat. The criss-crossing of each layer ensures its eveness.
3. If you're spraying using cans, depress the nozzle outside of the guitar first before you actually start spraying on the guitar. This prevents the initial accidental splattering of paint onto the guitar.
4. Start spraying from around 40cm away, and the way of spraying is to do it with consistancy. No sudden jerks as the nozzle crosses the length of the body of your guitar. You should aim for the completion of each pass over the body of the guitar to be approximately 1.5 secs.
5. Spray the can horizontally and not downwards. So this means you have to hang your guitar somewhere. Make sure the can is parallel to the guitar at all times.
6. Aim for a series of light coats rather than a single heavy coat to achieve desired results.
Hmm ok I think that's about all I can recall offhand. Guitar finishing is a very tricky task. Ergh. Watch as much videos as you can on guitar factory tours and how they manufacture their guitars. I believe PRS, Fender, and Gibson all have videos on youtube or something which illustrates their finishing processes. Take note of the techniques and you're set!