Sorry to confuse you...I do have LR CC, as well as PS CC. I bought the standalone LR 6, and months later signed up for the CC package and started paying the $10/month for LR and PS. In that move, I thought Mobile would be included. When I go into my account info, it states I am on the free CC plan, and under Products, it just states my LR 6 serial number from my purchase.
Essentially, are you saying if I'm paying the $10/mo, and have both CC's I should also have access to Mobile? If so, I just need to call in and have a tech help me. I spent quite some time on chat, recently, and got nowhere.
I have never had the perpetual license for Lightroom 6. The problem is that you are signed into the creative cloud with the Adobe ID and password associated with your purchase of the Lightroom 6. That is why you don't have Lightroom Mobile available. I believe it is necessary for you to create a new username and password associated with your creative cloud subscription. But I'm not confident in suggesting how to do that. You should probably initiate a live chat at the following link:
Contact Customer Care