My concern, in that regard, is that when you state they "interconnected" the electrodes on the original service, I contend, from the OP, that they did not. According to the OP, each electrode was "hit" with a conductor from the service and, unless I misread, there was no interconnection between the electrodes without the common connection in the gear.
Since every service is required to use every available electrode, my contention is that he must either bond the existing electrodes together or follow the original service path and attach to each.
Removal of the 1st gear should not disconnect any portion of the second service from the electrodes.
When you state "re-interconnect" my point is they were never "inter-connected" in the first place, just all connected (to the service).
You also mention a second ground rod. Since they have building steel, CEE, etc please show me where they need ANY ground rods, much less a second one.