Just looking at your logs:
"2013-01-14 18:13:37,882 ERROR [pool-5-thread-3] [rest.resources.install.InstallFromUriTask] download Error downloading plugin from https://marketplace.atlassian.com/download/plugins/com.atlassian.confluence.extra.team-calendars/version/1710
-- url: /rest/plugins/1.0/ | userName: charlie | referer: http://bhushan154-pc:8090/plugins/servlet/upm/marketplace/search?q=team+calendars
2013-01-14 20:02:56,177 ERROR [pool-5-thread-1] [sf.hibernate.util.JDBCExceptionReporter] logExceptions Packet for query is too large (4758112 > 1048576). You can change this value on the server by setting the max_allowed_packet' variable."
Looks like its a mysql issue you might have.
You might want to change your default mysql max_allowed_packet size: https://dev.mysql.com/doc/refman/5.5/en/packet-too-large.html
If you wouldn't mind including the file below we would have a better idea of what is happening.
The standard error log is helpful but does not provide us with enough information to troubleshoot this issue.
Please note that these logs will contain possibly sensitive information. You may wish to generate a support ticket at http://support.atlassian.com so that these logs will remain private.
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