hime = princess
-rin - a rarer suffix analogous to -chan that emphisizes cuteness.
The trapdoor with a stuffed animal perched on top is reminiscent of the hole between Keitaro's and Naru's rooms in Love Hina.
That's the bear from strip 
The line "Don't know why we worried about her." occurs in book four of the Appleseed manga.
Applessed was one of my first manga titles, i collected it when it first came out in monthly from from Eclipse (i think it was eclipse that published them first? i could be wrong. I know Studio Proteus and Toren were always behind the trans). :P Anyways, i wrote the line and was like 'god, where have i heard that before?' and hah, i too recalled when ... fang's parther ??? (the books are packed away and i cant look it up!) says that near the close of book 4.
and yes, the love hina reference was deliberate. references and spoofs are part of the fun of MT.