Can I raise the handlebars on my 08 gsxr 600?

Support bike on paddoc stand, support also under engine to take the weight of the steering, remove your handlebar, do not disturbe any of the bolts on the bottom yoke and providing you have no weight on the steering you will not disturbe the suspension replace in reverse order, do not worry its not a big job, if replacing the r/h handlebar undo the twistgrip unit and slide it onto the new bar before fitting to the bike, this will omit the use for removing the cables.

find some handlebar risers.
search for jandp cyles

fuse blown check fuse box

Where the clutch cable enters the gearbox, slacket the cable adjuster lock nut and screw the adjuster in toward the gearbox. On the handlebar grip, adjust the adjuster until about 8 turns are left or 1/4" of thread is showing. Unscrew the cable adjuster from the gearbox until there is just no slack left and tighten the lock net. Screw in the handlebar adjuster until there is about 1/4 inch of free travel at the little finger end of the clutch grip.
Hope that's clear enough.

I'd use 20-50.

that bike has a cracked cylinder heaeed or even a cracked block.
Water in Oil is the key sign of an abused bike.

underneath the tank is the airbox witch either has small screws or clips that need to come off but it should just come off

It depends on weither or not you have any aftermarket stuff put on the bike. My 600 will do 182 but that is with a power commander, acceleration kit, k&n air induction kit, k&n filter, and having it dyno tuned. My buddys stock 600 will do about 166 mph

pump gas would recomend premium