Why am I getting a weird ratio (beta) between base current and collector current?
You have taken your transistor into the saturation region and it won't behave properly. Think about what 14.2 mA from the base through to the emitter resistor means - your emitter is at 14.2 volts because R3 is 1 kohm. This means the collector has to be above 14.2 volts for correct transistor operation but then the LED won't work because the supply is only 15 volt and the LED might need two volts across it to illuminate.

By over-driving the base you have temporarily converted a really nice piece of sophisticated silicon (a masterpiece of engineering some would say) into two diodes that don't produce any current or voltage gain.