Hi,
I've attached the log from running WirelessManager in verbose mode, as suggested.
In wireless.prefs (Prefs/Env-Archive/Sys), the SSID of my router and its passkey are listed.
SYS:Prefs/Internet (v53.3) has prism2.device as the driver, set for DHCP and the hostname as the IP address of my router with packet type set to Default; for Routes, it has the IP of my router set as the default gateway address; for Hosts it has localhost set to 127.0.0.1; DNS servers are 8.8.8.8 and the IP of my router; and I haven't edited the Services or Servers section.
When I view my router dashboard, it shows the Amiga as connected.
I hope all this will help someone track down the problem.