Hey Lenos;
Congrats on picking up your first Radio King. They are GREAT drums.
jonnistix missed the point yet again but at least he has finally turned on his spellcheck!
As far as the washers go, yes, there is supposed to be a washer between the snare wires and the clamshell on both sides. They were included when I ordered my wires from Puresound. The rest of your adjustment comes from the knob at the top of the butt side clamshell. If this doesn't give you enough adjustment to get your snare wires to the tension you want them you may have to adjust the nut on the inside of the drum, (that holds the throw off lever), in or out a little bit. That is all the adjustment you have on a clamshell rk.
As far as the level where your wires should sit, hopefully you can get them to rest JUST off the head when in the off position.
While the clamshell design is nice to look at, it's functionality leaves something to be desired. Spend a little time fiddling around with it and learning how it functions and you will be able to get it sounding like a million $.
Good luck, let us know how it turns out and let's see some pictures!