here is the install.log..
Download details: Microsoft Exchange Server MAPI Client and Collaboration Data Objects 1.2.1
a dll doesn't exist where it should exist and that would only be if that package was not installed.
did you follow the installation document exactly?
removed outlook, reinstalled mapi client, then reinstalled ZCS BES Connector..
now it can connect to server in port 7071, but in the LOGS i see "connection refused" and the GAL is empty..
i'm trying a reboot to see if something happens..
also, i think that i saw that you have a proxy set up in previous logs, make sure the proxy is set up properly so that ZCB can hit the server on the right port.