Lately our Web Server's Event Viewer for Applications is showing a
ton of these "information" event types entries:

"The search service stopped the filter daemon because it was
consuming too many resources. A new daemon will automatically be
started, and no user action is required."

We have a number of these Warnings
"A non-critical error has occurred. If Dr. Watson reporting is
enabled, details of the error will be sent to Microsoft for
investigation.

W3WP.EXE: System.UnauthorizedAccessException
@Microsoft.SharePoint.Library.SPRequestInternalClass.GetListsAsSafeAr
ray(String bstrUrl, String bstrListInternalName, Int32 dwBaseType,
UInt32 dwGetListFlags, UInt32 dwListFilterFlags, Boolean
bPrefetchMetaData, Boolean bSecurityTrimmed, UInt32& pdwColCount,
UInt32& pdwRowCount, Object& pvarDataSet)"

I'm not sure if those are related but I'm a bit uneasy with all of
these happening.
Are there any know issues I need to look for?