I have Lightroom 5 lisence but ny copy of the program installation for installation on my new MB. Unfortunatly I have only backup of my Lihgtroom Catalogue bun not the application. Lightroom cannot migrate the Catalogue with all metadata from ver 5.
You can certainly transfer the catalog file to the MB. But you can't install LR 5 on a new MB ... so ... what to do? You can subscribe to Adobe's Photography Plan (not the confusingly named Lightroom Plan) and then continue using your catalog in the new Lightroom Classic (which as of today is version 10.4).