What type of oil is best for my 2003 Suzuki GXSR 750?

Check the fuel petcock. It's running out of gas. Maybe a stopped line. Change fuel filter.

state the problem eh

check the fuses
also go inside the fairing
un plug the wiring connection blocks
and clean them up
then plug them back together
basically needs a bit of tlc and a clean up

bad thermostat, week or bad water pump, clogged radiator . If you've over heated it , its possible you could have also blown a head gasket . Check to see if you have coolant in the oil. Or do a compression check. If all turns out good, i would replace the thermostat just because you have over heated it, and go from there..

Your battery has gone flat due to non charging by alternator.
Or it could be a bad or connection on power circuit, check main fuses etc, find out where power is going.

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Many thanks

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10w40 synthetic oil

this could just be a bad earth inside the head light when on high beam it earths out through the indecator and this pops the fuse as its pulling to many amps lighting the indecator as well! check all earth joints and use petroleum jelly on all joints when there is only 12 volts it dont take much of a dirty joint to stop it from working

Takes 10W40 motorcycle oil, and should be about 4-4.5 quarts.