First things first....
The bike running at 200 degrees in 37 degree ambient temps is high. It should maintain about 180ish in 6th at highway speeds in those temps. I would definately add coolant. You need to add a premix and should use a coolant that is recommended for the bike. The bikes cooling system and engine is almost entirely made up of aluminum, so get something like Dexcool or Suzuki premix and add it into the coolant resevoir till it reaches the full mark. You might need to add even more after you run the bike a few minutes , as the engines cooling system will slowly displace the air in the system and will draw coolant from the resevoir to maintain a air-free cooling system.
The "other" tank?
Not sure...My bikes only have one resevoir. The tank for engine coolant is on the right side of the bike, how you would see it as if you were sitting on the bike.
The "OIL" light and "COOLANT/TEMP" lights WILL be on when the key is on and the engine NOT running. This is to verify that the warning lights/system are functional. They should turn off when the engine is started and then only come on in the event that there is a problem. The oil light is not there to warn of oil level, but instead warns of LOW OIL PRESSURE. Likewise, the TEMP light is there to warn of excessive temps, not low coolant levels.
Neither of these situations will prevent the bike from starting.
The oil level will not be visible in the sight window with the bike on the side stand. The window should be about 60-70% covered with oil when the bike is perfectly level front/back and side/side. It should also be clean...a lightish/mediumdarkish brown color. If it is tan, or milky looking , you have coolant in the oil and have issues ($$$).
As far as the bike not starting? This could be several things...
1st. Is the side stand safety switch working properly?
2nd. Is the bike in gear? if so, the side stand must be in riding position and the clutch must be ingaged.
3rd. Is the battery fully charged?
Remember, the engines fuel pump will not even prime if the bike is in gear, and the sidestand is down.
Check all of these!!!