Alot of the claas's I've driven have had excessively loud cabs, and I drive a John Deere..
I agree with the whine, we have a deere, kemper it is nearly silent in the cab, put the pick up front on and you'd think there was no soundproofing, amazing difference.I have heard its something to do with the new style drum, when there is stalky grass going through them (ie your rye grass) they hit a certain frequency that is a bit of a white noise. I have heard of a few foragers round here going back to the dealers to have more soundproofing fitted so it might be worth talking to yours, as with your door rattling, the cabs are near air tight, if you open window at the other side and give a good slam, they a lot better.
s4m