Thanks for the reply; you were spot on. The power off/power on cycle was due to a poor DC connection. What threw me was that the 7000 worked during two nets. I replace the power connectors with Anderson Powerpole connectors and fuses. Turns out the power problem was oxidation on the Powerpole connectors, which I disconnected and reconnected several times after which the problem went away.
I'm still working on the analyzer problem. The SWR reading are in the 3.0:1 range on all bands when I connected directly to the antenna. So I'm still looking for information about the effect on any effort to analyze the SWR through the AH-4.