When trying to debug a problem like this, is best to start with the simple explanations and go from there. One could look at the module source Read.pm, but understanding the code might be a complex task. So I would look at line 106 in your mail file.
in reply to Mail::Message Problem
You don't show us this line, but the the error message gives a clue. Mail messages have fields in the header, like From:, To:, Received:, etc. The apparent problem is that the text on line 106, From - Thu Oct 16 16-1 looks like a malformed From: line.
This may be due to a malformed mail file; the module may have not seen the end of the mail header and went merrily along parsing body lines. Make sure that mail headers are properly terminated and that there is proper termination of mail messages as well.