The Guards regiments are one of the few that seem to have kept copies of soldier's records. Rather than spending your money with the MOD and waiting months, it may be better to ask the regimental archivist. If you send copies of the photographs you should get a better service than that on offer by the third-party used by the MOD.
https://www.coldstreamguards.org.uk/histories-of-the-coldstream-guards/archives.htmlThey should also be able to answer the question about the band.
Ken