Yes. Can you be more specific what issue you are running into and what troubleshooting you have done? I get you cannot mirror using your iMac, can you advise what content you are attempting to mirror? If is just things like movies, photos and music then using Home Sharing is a better solution than mirroring.
BTW, I can have 2 Apple TVs and multiple Macs all on Yosemite and don't have a problem with any of them sending content to the ATVs. We use our for sending movies, photos and music. On occasion we using mirroring however we haven't had any issues either. We don't using mirroring to use the TVs as external displays for any other content than music, photos and music though.
We also don't have a Retina iMac either, ours are a 2014 MB Air, 2011 iMac and a 2012 Mac Mini. If your iMac is your only Mac then you may want to be in touch with AppleCare and see if they have any thoughts. I am hoping you have AppleCare, if not then you should get it immediately.