Could also be that the battery is completely fucked. Lock motors and LED lights require a lot less juice than those other things, and the more complicated electronics like the radio will have a cut-off voltage below which they will not run. Most cars still have some sort of voltage readout. It should probably be somewhere around 17-18v while the engine is running. Anything below 11v is a bad sign for the battery. If it stays around 11.5-12v with the engine running, the alternator isn't working.