Francis Strange!
I also had issues with my dvd burning software however unlike your issues with Nero my Roxio Creator 10 which served me well thru all the o/s releases starting with Windows XP. After my upgrade from Windows7 Pro to Windows 10 Pro 64-bit two application no longer functioned. Besides Roxio Creator 10 my Acronis 2009 would no longer clone hard drives. In haste I purchased Roxio NXT3 Pro since I needed a dvd burning package ASAP and really didn't like the Freeware offerings. After things settled down with my Windows 10 upgrade I attempted to re-install Creator 10 on a "clean" Windows 10 Pro 64-bit and was shocked to see a re-install on a fresh Windows 10 Pro worked. Acronis 2009 on the other hand was left by the wayside and I selected Clonezilla and AOMEI as my new " favored" cloning utility. Sad to hear about your plight with Nero however you failed to mention if you attempted to reinstall on a fresh Windows install (versus a upgrade)
BTW, I purchased Roxio NXT3 Pro in eBay for $23 ...this was for a guaranteed new copy...same eBay seller also emailed me a link for download and license which guaranteed he was a legit seller...been burned previously purchasing software on eBay previously so I now purchase s/w at Newegg, pay the extra money for peace of mind.