I have exactly the same circumstances, dropped two feet and power button stuck in.... luckily Apple has in built workarounds for this, the iPad will always power up if the battery goes, you can do a reset by holding the home button but it will only go blank then show the Apple logo in repetition, but you attach your lightning cable to charge and your iPad will turn on, also turn on your on screen home button and add functions such as screenshot, lock screen etc, and your iPad will function as normal, in fact I find it better. Mines has carried on for several months now no problems at all, bit concerned when I first did a reset with the home button but attaching the charger brought it on. Now I am to attempt to free the power button, I am not sure if I should as all is good but I experiment so first I gently filed round the power button to remove any sharp edges. Now I am going to heat up a needle, bore a tiny hole in the centre of the button, and use a tiny screw (from an old dismantlement iPhone) and hopefully screw in to pull out. Obviously not a hammer and grinder job. I don't advise opening your iPad, they are not really designed to be opened without using new parts, many have ruined their iPad trying as there is a cable which breaks if you pull the screen up too far so don't try this option... even Apple suggests replacement over repair. But if you follow the above workarounds, you should have no problem. Twice I lost sound but the reset fixed this.