Shifting into an EE Career - with or without Master's first?
In my experience the usefulness of the person decreases with the level of degree above Bachelors.  The problem is that to get the higher degrees the candidate has to specialise in a narrower and narrower field and as a result loses their general spread of skills that will always be required in a real work environment.  Having a Masters degree specialising in the dielectric properties of PCB materials really does not help when trying to debug the memory interface on the processor or designing the switch mode power regulator.

I would try to get some hardware practice with a processor, or design yourself an audio amp, anything that you could point to to show your enthusiasm.