The clue is in the following.
Cannot forceunlink C:\Perl\site\lib\auto\HTML\Parser\Parser.dll: Permission denied at C:\Perl\lib/F
+ile/Find.pm line 519
Looks like you already have installed an earlier version of HTML::Parser, but you don't have the permissions to remove it.
Try and rename C:\Perl\site\lib\auto\HTML\Parser\Parser.dll out of the way and do another nmake install