in reply to search a string and get the output that belongs to the string

You can take advantage of the fact that your email messages seem to be separated by a blank line (presumably \n\n).

You can write a one-liner like : 

perl -ne 'BEGIN{$/=qq|\n\n|}print if m/jay/s' Your-quarantine-file-nam
+e-here.txt

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        This is not an optical illusion, it just looks like one.

In Section Seekers of Perl Wisdom