Hi Stephen,
if you keep the direct connection between S4 and E1, you can reboot the B5 stack without losing connectivity to the remote campus. As such I would rather recommend to just add a new fiber link to the B5 stack, but keep the E1 connections.
I would recommend to enable CiscoDP and LLDP on the E1, or disable it on the respective S4 and B5 ports connecting to the E1.
According to an E1 manual for FW 3.07.xx the E1 supports CiscoDP, but not LLDP. So you should disable LLDP on the S4/B5 Ports connecting to the E1, and enable CiscoDP on the E1.
Thanks,
Erik