Quagmire portrays A-Team member Face, who was portrayed by Dirk Benedict on the actual show. Benedict also starred in Battlestar Galactica. A cylon from that show walks past Quagmire during the A-Team opening theme parody.
When Brian gets fired from his job the deep baritone "no dogs allowed" is heard and Brian crawls on to the back of his doghouse and lays down like Snoopy.