Help! I think I bought a turd!

[firstcherokeekid]

I have had my new to me 06 gsxr 750 for about a month now. I bought it from a local dealer. Here is the issue. There is a very very loud whine in first and second gear on decel and down shifts. I had my friend take it up and down the street to see what he thought. You could here the whine over the exhaust and normal engine noise while riding. So loud in-fact that was all you could hear as the bike went by. The other issue is sometimes it will get hung up between first and neutral. If sitting at a dead stop in neutral and you pull in the clutch to shift into first the gear indicator goes blank and the neutral light will be off but yet the bike is still in neutral. But if I shift straight from second down to first it goes right into gear with no problem. I have to let out the clutch just a little and then the bike will go into gear. It does this very same thing over and over. I have changed the oil. Checked the chain. Adjusted the clutch cable. Any ideas as to what it could be. I have no idea what was done to this bike prior to me buying it. The shop I bought it from keeps telling me nothing is wrong with it. Just to prove to myself that I was not crazy I went and test rode another 06 750 with about the same mileage and nothing close to how my bike sounds. I have used the search function as well and did not find anything close to what issues I have. If anyone has any prior exp with this problem please help me out before I pull my hair out.
Thanks in advance
Jessica