I can't claim I know for certain, but from what I have seen of pictures of the kt12sm unit, it looks like it is just the power supply. It was usually installed along with a power distribution system PMS4 , so a problem with the 12v systems could be due to either product.
The switch with the neon will only show that mains power is connected and switched on it does not show the state of the dc output. The manufacturer was Plug In Systems Ltd, of Wetherby Hull, but they no longer exist, but an ex employee does offer a repair see,
http://www.expluginsteve.co.uk/
or possibly
http://www.apuljackengineering.co.uk/
who I know do work with a range of makes.
(Note a transformer only converts 230ac to 12vac - a power supply does that and all the other things necessary to produce usable 12vdc or in this case 13.8Vdc)
The first thing to do is check all the fuses, then if you have the necessary skills and equipment you can start to probe the 12V system to see if the ks12 is producing power or not.
If you are not confident with doing this then I'm sorry but you have no choice but to call in an expert to check it out for you. Just remember that although you are unlikely to get as shock from 12V systems, they can still cause fires if they are not wired correctly.
If anything does need replacing, there are other power supplies available such as Zig - who have recently moved to Nuneaton as part of the Carver Group Ltd companies. http://www.zig-electronics.co.uk/index1.htm