Thanks for those. Typically the information you need will be in the dump files when you get crashes. And yours is in that last screenshot:
0xC0000005
The thread tried to read from or write to a virtual address for which is does not have the appropriate access

The error code is Access denied. And that is also what the error message is telling you. - it's a permissions error causing the crash.
Is this server on the lastest patches? SP4 for 2012 just came out but you should be at least at SP3. I haven't gone through the CU to see if any of those address the issue.
Make sure the permissions are set correctly for the package and however that is being run since that impacts things. And if it's a job, who is the job owner. The service accounts should only be changed through configuration manager.
If you haven't or don't run the package manually, try doing that and see if it makes a difference.

Sue