The second song in "The Last Carnival" is "Ba-ta-fu-ra-i" <=> "Butterfly" by Ellegarden. But this is all I can make out of the first song: "Tsu-mi-na-ra... to kanjikanji wa kanji-fu" by "A-sa-ki"... sorry I couldn't really make out the kanji to even look it up, and what I did figure out was just from the CM's opening screen.