Besides, do pickups really make difference?
changing the pickups can drastically change the tone of a guitar! especially with modern active pickups, there is really no limit to how much you can change your tone. If your amp is any good, your guitar is any good, your pedals are any good and you choose your pickups wisely then yes, they can make some difference.
Additionally, are guitar pickups supposed to move? It's not normal, however, if they shake around on their own. It's totally normal if guitar pick-ups move a little bit when you push on them in some way, however, if they move around on their own, there is something wrong.
In respect to this, can guitar pickups die?
Pickups can die, but it's very rare hold one under an industrial electromagnet , for example, and it'll stop working. Also on very rare occasions the windings can become damaged, but that's usually a result of botched maintenance, it doesn't just "happen".
How do I know if my guitar is grounded?
Checking Your Guitar's GroundingTouch the probes to a guitar string and the ground section of the output jack. If you hear a clear beep then your ground is good. If not then it's time to check all of your wiring, making sure that all solder-joints are nice and solid.