Right, so as you have done all the right things already, removed battery card etc.
And I assume you have done a factory reset?
Then it is either a small component inside that is broken/dislodged or there is some grime/dirt lodged somewhere from the fall.
Point and shoots have such tiny complex parts that are needed for Zoom, auto focus etc, that there are by design because of the size very fragile.
It almost certainly a hardware fault that you are getting. The camera is locking up because it cant make things works as they should
What I can recommend for you is
1. You talk to your retailer maybe they can help
2. See if your camera came with an extended warranty (Some do)
3.Talk to Panasonic
4.make an EU goods and service claim
5. Try I website like MPB, for a replacement second hand with a warranty
My advice would be to contact both your retailer and Panasonic as though you do have a warranty (Just assume you do). Then see what happens, don't mention the fall unless there is no other choice.
Also if you like? I can send you a post of other things you can do to try fixing you camera, that I wrote before. But everything on there is no guarantee and you do it at your own risk.