I have a 2000 Suzuki GSXR 600 SRAD and fuel starts leaking out after about 5 mins of idling

SOURCE: my suzuki gsxr cuts out after 6000revs whilst on the road

sounds like carbs

SOURCE: My 1993 suzuki gsxr 600 idles fine when you start

check your copression if its fine take your pipes off and see if the problem still exsites

SOURCE: suzuki gsxr 600 06 starting problems

200° is quite warm...
If the engine wont turn over, probabily you have a bad battery, a bad starter or a bad starter relay, or bad connections.

A hot engine has more compression. If the full battery power doesn't reach the starter it won't turn over...

SOURCE: my suzuki gsxr 600 srad started to over heat.

One, or more, of the three necessary ingrediants for combustion are missing: fuel, compression, and a spark (at the right time).
You said that it started to overheat. Find out why. Then, check the engine's compression. You need at least 140 psi of compression, in every cylinder, for the engine to start and run. Low compression indicates either the need for a valve adjustment - or serious engine repairs.

Testimonial: "cheers mate will conduct a compression test and take it from there. thanks. "

SOURCE: how do I remove the seat on my 2000 suzuki gsxr

1. Pull up the back end corners of the front seat and you will see a bolt on both sides.
2. Remove the screws
3. Push back and up from the front and seat will come off.