Sorry your having so much trouble-
I'm not a skype user, but try running skype from the command line (terminal window) and when it crashes, post back any information that displays in the terminal window. It would help to troubleshoot the problem.
If I can look up the output that might be where the solution is.
In the meantime try these things:
Here is a Troubleshooting Guide with Ubuntu and Skype
In some cases the folks at Ubuntu had a few crashes as well.
This might be a bug; fatalerror0x00
A man at Ubuntu running Xubuntu had the same issue as you with crashing try what the member advises.
: Skype crashes on incoming call and other audio issues
Running Skype at startup Solved
Hope this helps