Stator wiring overhaeting

Did starter include a new solenoid? However, there has been a rash of bad "new" solenoids. Try to "jump" around the solenoid to see if it spins the starter motor. If it does, most likely a bad "new" solenoid.

It sounds like its possibly a bad regulator/rectifier. I have posted a link to a video on how to test your regulator. How to test 2 plug Regulator Rectifier for K6 K7 GSXR 750 600 1000

Have you got the new battery wired the right way? negative to negative and positive to possitive it wont start if you got it wired wrong way.

Some bikes have a safety switch on the wires attached to the clutch leaver, check that the cable is not loose as you might have a bad connection.

3) there may be damage that has caused this
2)doesnt matter which yellow wire
1)maybe fried regulator or stator coils or aged insulation which has allowed a short between windings

The three wires are the 3 poles of the stator windings,

Fix the wires and plug first(electronics shops will have suitable 3 or 4 pin plugs to use)
get a multi meter and check resistance, any pair should have same resistance, non should short to ground.
with the bike running they will produce AC current (maybe 50-60vAC)again any pair.
If you are getting good AC voltace, then put the meter across the battery 12vDC engine stopped should rise to 14 vDC (about) when engine revved to 3000rpm

No AC -new stator
No DC-new regulator
Note voltages are estimates, many bikes run very similar charging systems

Help on taking off a alternator on a 99 gsxr.

scape to bare metal and reground all ground wires then make sure no hot wire has melted its insulation and is touching metal on ur bike,

Yes some heat is normal, not so hot that it melts. Your voltage from stator is AC not DC,the voltage you read was after voltage regulator.To check the stator output unhook the wires from stator,run engine at 1,500 rpms as you read Volts AC on your meter,read from one stator wire to the other (do not use black to ground) untill you have tested all the combinations,write down the different set of numbers.You should read around 45 or 50 volts AC on each set. The high temp on the wire is more likely the result of wire connections needing to be cleaned and treated with dielectric grease to keep out moisture and deture corrosion.With good clean contact the wire will have less resistance and be cooler.The hot spot is usualy the weakest. OK well hope you get it done soon,Ride safe!

Change stator. Left side of motor. Its real easy to do. If your to buy a used one order the gasket from Suzuki first. Its going to take a few days. Also get all you need for the oil change also...due to the fact that all the oil is going to come out with the stator cover removal. . Suzuki can run a diagnostic on it for you as well.

I guess its the regulator/rectifier thats pushing too many volts down that wire. Try another unit after fixing the wire