My problem was slightly different, but I will post this anyhow since something in here might be of some use to you or somebody else: I was trying to get an AirDrop connection between an iphone 6 (iOS 8.1), a mid-2011 iMac, and a late 2012 MacBook (both running Yosemite).
Airdrop
I had an Apple Tech Support session in the end, but there were no revelations. Almost everything they told me I'd already read on the Apple Support site. The only 'revelation' was device re-sets.
Apple Tech Support peeps ran me through the basic steps I'd already been through, as well as well as a network reset.
Finally it came down to a compatibility issue. AirDrop from my iphone just won't work on a pre 13.1 model (late 2012) imac.
It works on my lat 2012 MacBook Pro however. But it took a while to get started, like 15-20 minutes of leaving the two devices next to each other. At first I could only send from my macbook to my iphone, but after a few files transferred, I was able to see my macbook on my iphone. Transferring files today takes a minute or two before the phone will see the laptop, and the files are now going straight into my Downloads folder.
I've skirted around the iMac problem by installing Google Drive, where I have more free space than iCloud offers. Files transfer pretty easily with Google Drive.
Bluetooth
My iphone still doesn't 'see' my iMac or MacBook in Settings > Bluetooth > My Devices.
But it does see my LG700 headset. I have succeeded in using the two for calls and Siri.