The connectivity issues were remote users weren't able to log into any of the servers in the LAN. They got a "server is not available" error. All these were virtualized on one particular machine. When trying to log in to the virtual machine itself via either the vSphere client or web client, the connection timed out. I logged in via OpenVPN and managed to RDP into the DHCP server, then I could use the web client. (I installed VMWare tools on the machines that didn't have them already and for some reason they had connectivity again. Still working on why that happened, too.)
The servers are now reachable as they were before, but the vSphere client and web client are still nonfunctional from outside the LAN. I saw the DHCP address and thought that might have been my issue, but I'm guessing that it isn't.
Time to figure out just what else could have made this happen. I appreciate your time, jammcla.