I am not typed on the 777, thus cannot (and will not) judge the crew. However, for the experienced 777 crews, even though no action is required for status messages, wouldn't the appearance of multiple messages connected to the engine cause you to consider returning to the airport?
My rationale would be that it wouldn't be the first time a computer system generated seemingly innocuous messages when a more serious problem existed.
Is it typical of the plane to generated multiple status messages during flight?