Problem after install of Norton Security Premium 2016

I've been a Norton user for many years. I had Norton 360 on my computers and it was getting closer to its expiration date. So, I went to the Norton website and purchased Norton Security Premium 2016 with Backup since the price had been reduced. It comes with 1 year of protection for 10 devices.  I received the purchase confirmation by email. Since Norton 360 was still on each of my computers, I downloaded and installed the Norton Removal Tool and removed 360 from each computer before installing the new Norton Security Premium. I also went to my Norton Account to remove N360 from each computer prior to the new install. I didn't do this all at the same time, but rather did this one-at-a-time, as I prepared to install the new Norton Security on each computer. Starting with my primary computer, I went through this process, then went back to my Norton Account, and downloaded Norton Security Premium, which appeared in my account. The download and the install worked just fine. I went back to my Norton Account to confirm that my primary computer was now showing up as using the Norton Security Premium and all the expected info, including the product key, checked out fine. From here, I went on to repeat this process with each of my four other computers. By the way, all of my computers are running Windows 10 and all have been thoroughly updated and are well maintained. Each time I completed the install of one of the other 4 computers, I would go back to my Norton Account to confirm that it was registered properly. Beginning with the second computer to get the install, I noticed something strange. When I went back to my account page to confirm the install had gone okay, there was a small Norton icon below the computer's name, with the word "Trial" beneath that icon. Since I didn't download a "trial" version of Norton Security Premium 2016, but rather bought the program from Norton, I'm confused as to why this word and no other info was there? When I have installed Norton (for 3-devices) in the past, I would see the product key listed under each device. That didn't happen this time and I don't know it didn't. I spent a lot of time installing this on my computers and I have a bad feeling that something is wrong. I should add here that the last of the installs was done today on a Windows 10 laptop. I did everything the same way as the other installs, but just before the installation brought the actual Norton Security program window to the screen, a red window appeared that said that my "trial" had expired and gave me only an option to activate the program, which I did. I had to go through the whole process of signing in to my account again before the installation recognized that the install was valid. Then I went back and checked my account and noticed that my laptop now showed the new Norton Security was installed and it also showed the product key the way it ought to. Considering that I did each install exactly the same way, I don't understand why 3 out of five computers show up as "Trial" versions under the Device heading on my Account page, yet under the Services heading it shows the names and dates that all 5 computers were changed to Norton Security Premium. My Norton Account page shows that I bought and paid for this program. I've booted each computer today and Norton is working on each one. If I open Subscription Status it says that everything is good for 365 days. I'm still really baffled as to why the word "Trial" appears under 3 of my computers listed on my account page. Has this happened to anyone else? I'm afraid to just leave it as it is, just in case an issue arises some time later. Does anyone have any thoughts on this? Thanks.