A few things from long time radio system builder/maintainer, but now manager of a large team doing design, install, repair, and maintenance of these systems (approx 100+ subordinates). The above info is very relevant.
If you don't know, say you don't know. Be able to separate fact from speculation. However, as a technical person, you take what you know to figure out what you don't know.
To expand on the "network" side, safety comes first. That means keeping the network up and healthy is a priority to keeping the users safe and those folks keeping the community safe. Not all issues are sudden and catastrophic. Being able to find irregularlarities in diagnostic reports is significant. Look at AC power failures, DC voltage differences, network drops, packet loss, building temperature differences, generator run time, fuel levels, interference alarms, VSWR/RL sweep failures, number of calls or call failures per site, user complaints, registration details, etc.
You may want to find out if the system is Motorola. They typically use Genesis monitoring tools, which would be a good start on how that system works. I am a commercial MOTOTRBO guy, so all Capacity Max/Cap Plus/LCP/IPSC and GW3 for me (not much large scale Moto public safety experience).
Keep in mind that you don't know in depth of these specific radio systems, but like any network, you know what the users expect. You know the network delivers services to the users. You know (or can reasonably find out) what it takes to keep the network up and running.
Radio systems are simple: coverage, capacity, and features. Don't let the users worry about if the radios will work when they hit the PTT button.
TT