Tonka22

Hi
Old biker, newbie to SV650 from Wallasey here, and my SV650 K1, has decided she doesn't want to start, I know it's cold but she's being a bitch. Eventually it did start. Thought initially it was a plug problem so I have just fitted new plugs. Problem still exists! Then I thought it was running on one cylinder (the front one) Front exhaust hot, rear exhaust not so hot!
When eventually it did start it was a rough as a dog's xxxx
Had the rear plug out nice bright spark, so I am thinking it's a carb problem. Looking to " you tube" others has found problems with the rear cylinder problem being down to the manifold being lose or even split.
So am open to suggestions or advise.
Oh by the way my SV has only just over 9 k miles on the clock, and have all its services stamped in the book, so it must of spent most of it's life doing nothing!! (It's on a "Y" plate.)
Don't mind paying to have it put right, but don't want to take it to a unknowledgeable bike shop who don't know what the problem is and charge the earth while they try to sort it out!
Can anyone recommend a good knowledgeable bike shop or someone well up on SV650's and their little ways that they try to avoid going out in the cold!!!