The normal placing of the third stone in the mini-chinese is , on the third line.
Playing on the fourth line is also known in pro play. For example O Meien made this formation against Kato Masao in the 1994 Judan.
Rin Kaiho tried this way for Black a couple of times.
This unusual type was tried by Jowa in 1822, Kamimura Kunio in 1974. It is more likely that one tries to combine a play at a, that is, a 5-3 point 'the other way round', with a play such as b, for the sake of balance. That would be a Kobayashi variant, though.
With the marked stone one to the left. This has been tried by Aragaki Takeshi.
A position of mini-chinese type is also an option here for Black. is the common choice, but c and d are also professional plays.