A lot of these warnings and errors do not seem to be related to WP-Juicebox, for example:
[Tue Feb 17 19:03:58 2015] [9497277] [core:error] [client 142.54.183.130:57623] End of script output before headers: wp-comments-post.php, referer http://theheinrichteam.com/carmel-valle … y-morning/
The error above refers to the 'wp-comments-post.php' file (not part of WP-Juicebox).
[Tue Feb 17 23:06:07 2015] [9497277] [fcgid:warn] (104)Connection reset by peer: [client 162.200.145.253:52986] mod_fcgid: error reading data from FastCGI server, referer http://www.zillow.com/homes/for_sale/pm … /?view=map
The warning above (a CGI warning) seems to be related to your mapping functionality.
It looks like there are too many different warnings and errors for them all to be caused by a single plugin.
Have you tried temporarily deactivating WP-Juicebox to see if the warnings and errors continue?
Also, have you upgraded your WordPress installation recently? If not, then you might like to try upgrading to the current version (v4.1.1) to see if this helps.