I think the composer BABA is surely Takayuki Baba (
https://vgmdb.net/artist/9927) who can be found on several rock and roll albums of the time (image albums of Be Bop Highschool, Shakotan Boogie, Be Free!...).
Here we find it on the album Be-Bop-Highschool Music Collection with certain identical artists like the singer Johnny, the arranger 上村功 credited here 上村イサオ or the lyricist Mini Imamura:
https://vgmdb.net/album/61857
On Kizuoibito's album we can also find it with Mini Imamura:
https://vgmdb.net/album/57287