Is there any sort of tashlumin for kiddush levana?
Also, is the chiyuv communal?
Unfortunately I don’t know of any tashlumin for Kiddush Levana, However as a general rule, when someone does something wrong one of the ways to fix it is by learning those Halachos.
The chiyuv of Kiddush Levana is on the individual, although it is preferable to say it with other people, because of “Brov om Hadras Melech”, especially with ten people in order to say kaddish afterwards.
S.A. O.C. 426-1, M.B ibid 1, Biur Halacha 426 D.H. Elo, Kaf Hachaim O.C. 426-13.