Something is wrong with permissions:
[Wed Jun 15 15:28:58.227517 2016] [core:error] [pid 6302] (13)Permission denied: [client 185.53.226.226:54367] AH00035: access to / denied (filesystem path '/home/vagrant/www') because search permissions are missing on a component of the pathSomething is wrong with config:
AH01630: client denied by server configuration: /home/vagrant/www/site/public/