Are you using a Windows computer to sync and update?
Crashes indicate damaged/corrupted software which happens sometimes if hardware is also damaged, but more often if the software is not syncing to the iPad properly.
You can try a hard reboot - hold power and home button till it cycles off then on again, then let go. I don't believe that will fix your software crashes.
I would recommend restoring to factory, updating over a reliable wifi connection and restore your data from cloud storage.
Any more problems after that, take it in for Apple service.
