I just picked up an '08 R6 that's been sitting since '08. However, it was kept in a crate, then a parking garage, and never started. The tank was empty since the original plan for it was to ship it out of the country.
So in my situation, I bought a new battery, filled it up with gas, and it started right up. Let it warm up, then did the same the next day, where I changed the oil.
The tires will most likely have flat spots, as I believe mine do. I've been trying to see if multiple heat cycles would work the flat spots out, but hasn't turned out that way yet.
In your case I'd check the chain, the gas tank, and while I don't know much about carbs, probably have that done. And new tires and a battery.
Coolant and brake fluids should be done as well. I think $2800 is too much.