which war would this be?

[Jebber]

You have their Regimental number, so If you check for the two soldiers in the Campaign Medal Roll on Ancestry, it will tell you which  of the  clasps each man was awarded for the Queen’s South Africa Medal.
 

[jim1]

Just to confirm the collar dogs are RWK.

[CraigM63]

One might suspect the two soldiers on the outside both have the Queen's South Africa Medal with campaign clasps, while the one on the left also has the King's South Africa Medal. The Queen's South Africa Medal was awarded for service in South Africa at any time between 11 October 1899 to 31 May 1902. The King's South Africa Medal was awarded to those who were in South Africa on or after 1 January 1902, with 18 months service completed before 1 June 1902.

As others have pointed out, the campaign medal rolls are available on Ancestry, so a trawl through those for the Royal West Kent regiment should soon show who was awarded what, and which campaign clasps were awarded to each man.   

[John915]

Good evening,

Definately post 1902 because that is when the pointed cuffs came back after a period of jam pot cuffs.

The Slade Wallace belt would point to pre 1908 when leather equipment was replaced. For line regts the belt only as shown was worn with blues for walking out. Only the guards carried on wearing Slade Wallace equipment but in white but without the pack.

John915

[John915]

Good evening,

The policeman has the Queens medal for distinguished service.

John915