The Spanish word for summary is "resumen," not samaraisia/samuraisia.
First time we learn Mrs. Garrison's new first name - Janet.
13280 - in 1337 speak, each letter is replaced by the closest matching number in appearance, so 1 is L, 3 is E, 2 is Z, 8 is B, and 0 is O - LEZBO, or lesbo, a synonym for lesbian.
"Come To My Window" by Melissa Etheridge, a well-known lesbian.
The movie being parodied here is 300, a movie depicting the Battle at Thermopylae between 300 Spartans and Xerxes' army. The Spartans lost that battle, but the Greeks they inspired kept the Persians from taking Greece.
"I could bust a testicle" - I could bust a nut.
Mr. Garrison's chat with the Mexican laborers plays exactly like Cartman's did at the beginning of the show.
The modern slang term lesbos is another word for lesbians, but the word lesbian came from a poem about the women of Lesbos, a Greek island just off Turkey.
The early joke about Mrs. Garrison being an incompetent teacher (as Mr. Garrison) returns, but she's more accepting of Mexicans now, enough to hire them for jobs in which they could pass for Persians.