You need to use QSA flags in your rules:
RewriteRule ^([A-Z0-9-]+)/?$ index.php?urltype=$1 [QSA,NC,L]
RewriteRule ^([A-Z0-9-]+)/([A-Z0-9-]+)/?$ index.php?urltype=$1&url=$2 [NC,L,QSA]
RewriteRule ^([A-Z0-9-]+)/([A-Z0-9-]+)/([A-Z0-9-]+)?$ index.php?urltype=$1&url=$2&pages=$3 [NC,L,QSA]