Bike won't start after riding for about 10 miles. Once it cools down again it starts has a dragging sound to it.

SOURCE: bike shut off when riding.

Hi and welcome to FixYa,

Your description indicates an electrical malfunction. Offhand, the jump start and charging is significant. This points to the bike's battery not charging. Suspects would be:

• voltage regulator (most likely);
• connectors to voltage regulator (likely). Check/clean corrosion/burnt marks;
• stator and/or the 3 wires coming from it (least likely).

SOURCE: '01 GSXR 1000 won't start at temps above 170 or so.

Check the coolant sensor.Probably reads to the ECU that the engine is cold while it is not and the ECU injects more fuel that it should.Unscrew the coolant sensor (it is located on the cylinder head or on the thermostat casing) and boil it in water and measure it's resistance before (cold) and after boiling it (hot).It should not be the same.

SOURCE: Bike starts and runs then dies out when hot. If I

You were lied to.
May be a fuel filter. Bike runs for a while then stops.
coils do this too. Only way to check is to replace it (or them)

SOURCE: Bike stalls out in neutral and wont start back up while riding

check that the side stand is returning to the foldfed position,, they are known to work lose and imobilise the starter mech

SOURCE: 03 Suzuki GSXR 750 keeps shutting off while I am riding?? HELP!

Seems you are running entirely off your battery.
Indications are a suspect lighting or source coil is shorting. Resistance test will show discrepancies. Data is available on-line, search technical/electrical manuals from Clymer or Haynes. An auto shop sells cheap multi-meters than you can use. It is a stationary test and will identify individual component problems. As rectifier/regulator, cdi box and wiring/switches/connections all have an effect. These test are outlined within these publications. Cheers (and don't get caught)