27-02-14, 11:28 AM
A suitable plug spanner (if the one in the OE toolkit is missing), some contact cleaner spray and a simple multimeter (about £10) would be good investments.
Take a look under the tank and check all the connectors are clean and tight-fitting, both those to the coils and all in the bundle that lives in the black box. Also check those in the tail, the immobiliser bypass plugs and sockets (all black wires) cause problems if they're not making good contact.
Within a minute or so of starting the downpipes should be hot enough to make a wet rag hiss, you can quickly identify a cylinder that isn't firing that way.
Chances are that it's the mixture, either stale fuel, water or one of the carbs has a blocked jet somewhere. Try draining and fresh fuel first, dismantling the carbs is a PITA. A carb balance and check of the TPS is worthwhile.
I notice you changed the cam chain a while back, are you sure the valve timing are correct?