So I tried the Standard Method 1 with Root_with_Restore_by_Bin4ry_v33
But I think this was a bit tricky; at first u should test the adb Connection first with adb shell and after this close the Server. Than start the script in the same CMD shell. Ignore the error:
I had the error: C:\Users\username\Documents\ROOTEN\Kindle\Root_wit h_Restore_by_Bin4ry_v33\ric konnte nicht gefunden werden
After the successfull run, the superuser app was not in my 'carousel' and not listed in Apps on my device. But I found it with search in Apps und also the Root Switch in Es File Explorer was working perfectly. Thanks for the Tools.