Private dancer is very close to Love over gold (song and album sound) musically, and he might have had a different set of lyrics for a male delivery, or maybe he wrote some new lyrics on a close to LoG tune. Unlike the other MK penned song "Overnight sensation", from Tina's next album "Break every rule", I think Private dancer was not written with Tina in mind, but gave it away when he was asked. An MK rough "sketch" recording is known to exist. By the wayMK contributes in 3 Tina albums, and on the double live one, Tina included a photo of her with MK, while there was no further contribution on that one.
Badges is funny, and has the sound of early DS, like Eastbound train, certainly not fit for the LoG album, but great for the summer-y Extended dance Play. But surely it is Pick on the drums, since it's first appearance is as B-side of the Private investigations single. I like the lyrics, making plenty money out of merchandise, while they are musicians must have been hilarious for MK back then.