I agree with reecardo - check your SMP credentials in Workflow Credentials Manager (a different tab in Workflow Explorer - the same UI for the Log Viewer). Verify your address and credentials and use the Test function on your SMP credential entry.
However, i don't believe this is what is causing your submission failure. I noticed the "Verify Session ID failed" error for the SD.Feeder.GeneralIncidentSubmitForm process. How have you configured your Process Manager authentication on this server, and which user account are you using to try to submit your incident? This error can be caused by manually modifying the Admin account, among other causes.
The log you posted from your first server showed a variety of errors, but none specifically from Incident Submission. It may be helpful to clear the log, perform your test, and then capture the log immediately afterward.