As already said a toothbrush and some paraffin works great for the chain.

If you want to remove you wheel then this should help you. http://sv650.org/sv_manuals.htm
(page 42 in the Chassis section)

Best off going to the link and save them to you hard drive.

take off the large spindle nut, knock spindle out, wheel comes off, job done.

Not quite as simple as that but close.

Undo the calliper torsion bar at the calliper end. Then undo the axle nut and push the axle through and out. Take note how the spacers and washers are placed before taking the axle out. Allow the wheel to rest on the ground and push the wheel forward toward the bike, this will give you the slack in the chain you require to take it off the rear sprocket.

The reason for undoing the torsion bar is to allow the brake calliper to slip off the disk as you remove the wheel. Also leaving it in situ makes it more difficult to refit the wheel and align it correctly. Refitting the wheel is completely the reverse of taking it off.

Don't forget to give the axle a nice new coating of grease before putting it back together. Also when putting the wheel back on, make sure you have put the torsion bar back into place before tightening the axle bolt. If you don't, you may find that it's a bugger to locate the bolt through the holes. When both the axle and the torsion bar bolt are both back in place, tighten the axle first then the torsion bar bolt.

Taking it off's easy, putting it back right's less so. But the Haynes does go up to the injected models now apparently.