New Mac computer setup with Time Machine Back Up from old Mac computer

Hello

We bought a new iMac 6 weeks ago and then purchased the Lightroom Classic and Photoshop package shortly afterwards on a monthly payment. A hardware fault was diagnosed on the Mac yesterday and a new replacement provided. We backed up to Time Machine before going to the store for the replacement. When asked, the Apple support guys said not to worry about the photos as both LrC and Ps would transfer over to the new machine and all collections and catalogs would still be available. Phew, we were relieved to hear that. 

Having set up from the Time Machine back up, both LrC and Ps apps are available in the dock. When I clicked on the LrC app in the dock it opened as normal, I can see the photo imports, collections etc down the left side and was able to click on my last import and the thumbnails appeared on the screen. However, an Adobe box then popped up saying Start your free trial of Lightroom Classic or go ahead and buy now. It then offers the options of 'Start a free trial' , 'Buy now' or 'Quit' and we can no longer access anything underneath it on the screen. 

The same happens with Ps, we can see all our images in thumbnails on the screen but the Adobe box pops up saying exactly the same as the LrC one above.

Have we done something wrong?  What do we need to do to rectify this issue to access our images please? All help with really be appreciated.

Thank you

Suzi