Going nowhere installing Norton 360

I've been using Norton for decades - rarely a problem.  Just purchased a new 360 (5 devices).  Installed and works well on two devices but major problems on my laptop.  Tried installing - just stopped my existing Norton 360 ( premier ) from working at all.  Tried usual uninstall via Windows Control Panel - will not allow Norton to be uninstalled at all. Downloaded and saved Norton Removal Tool.  Clicked on it and just doesn't run - does nothing - so looks like my whole system is locked out of doing anything with Norton products.  Running Windows 7 on good quality Samsung 9 series laptop.  Where do I go from here?  Ian