You have to get the Bobcat sealed by a WDFW employee or a designated person authorized to seal pelts before you do anything with it.
Then you can sell the Bobcat pelt and you don't need to do anything with the coyote, you can sell them in the round (whole animal) or you can skin it and sell it raw too.
If you buy and then resale, you need a fur handler license. So I couldn't buy your pelts, process them, then sale them at a fur market unless I have that extra license.