Lying up for 6 months,,,,,, this is on the border line of your carb needing a clean,,,,,, not hard to do,,,,take your time,,,,,clean out all the little holes so you can see daylight through them,,,,,,, try not to adjust any of the settings on some of the screws, but if you have to, count how many turns it takes to get it out and then when reasembling screw them back in the same amount. Its better to screw them in first while counting and then out but i wont confuse you.
However, i am thinking, although the bike is starting and running you might just get away with giving the bike a good hard run, for say an hour. This may get the fuel flowing through the carb enough to disolve away anything that might be a bit gumed up from lying for 6 months. Although this probbly wont disolve the starter jet or the chooke but it might just do enough to get your bike ideling good and then you can tell more wheather it needs carb cleaned or not.
It would be a good idea to clean the carb anyway, especially as the weather MIGHT pick up a bit and it seems you are going to use the bike a fair bit so ya might as well get it going as good as possible. Nothing worse than having to push your bike along a main road.
Whats this about the engine not matching the V5 ?????
Will she fail MOT because of this ????