If nothing is happening then nothing gets logged. A low rate system log is often a sign of good stability not a problem.
Those last logs are all dpinger starting which happens if an interface goes down and then comes back up or you apply a change to it etc.
I see in there that you have an OpenVPN gateway. Do you have the WAN gateway set as default in System > Routing > Gateways? If not it might have switched to a different default route when your WAN went down resulting in no connectivity.
I don't see that logged specifically but those logs are incomplete.
Steve