Not owning a mini myself yet, I'm going to have to make an assumption on the meaning of
DSC. I assume this is for the Dynamic Stability Control. Do not have a clue what SES is. But i know that EML is to do with the Engine Control Unit. When this light comes on, it means that there is a fault within the car, that is potentially dangerous. It is not always to do with the engine though, as with my mothers Lupo the EMC (equivalent to EML) light came on when a fault was detected in the brakes. Anyway, as you have had a decrease, and even a total loss of power, this would point to a fault in the engine. When a fault is detected in the engine, that could potentially damage it, the ECU will go into 'Get You Home' mode. This reduces power, and revs to help protect the engine. The only thing i can think of that would lead to no engine response at all, is perhaps if the ECU thinks that the potential damage is too great, it will stop you going anywhere. So restarting the engine to fix the problem, is probably a bad idea, as the reason it does it is to protect itself.
Remember, that what i have said is based on what i know of other cars (i am a bit of a car nut, and find the workings of them fascinating

), and what my friend, who works at the MINI plant in oxford, has told me about the MINI. So it may not be completely accurate, but i am fairly confident about what i have said.