not sure in this bike, but in one of my other bike (cbr back seat) sometimes turning the key and the seat is still stuck... hitting the seat from the top with your fist at the same time turning the key usually does the trick
 
If you push down on the seat as you turn the key then you may find that it comes off. Then put grease over the mechanism to help make it easier in the future.

btw, if you put the year and model of your R3 in your info it will make it much easier for people to help you with information as there are some model specific variations on a lot of stuff.
 
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