The queues that are mentioned by that message are those that lead into the data pipelines where splunkd shapes your data into events before indexing those on disk.
This message would indicate that there is a bottleneck in one of those pipelines, which causes the queue that feeds it and all queues upstream to fill up, all the way to the queue that accepts incoming events from forwarders (splunktcpin).
This is obviously undesirable, but keep in mind that your forwarder events are not being dropped. Instead, the forwarders will pause their data inputs and resume once the indexer is able to process data again.
When seeing such a message, the first thing that you should do is to determine the fill percentage of the queues leading to the 4 main data pipelines : parsing -> merging -> typing -> indexing.
By determining which is the most downstream queue to be saturated, you can get an idea of why there is a bottleneck there.
A simple way to gain visibility of the state of event-processing queues is to use the "indexing performance" view of the Splunk on Splunk app. For details on how to install the app, check this Splunk Answer.
If you can post a screenshot showing the panels of that view, I can try to help you further.
Incidentally, what is the case number that you opened with Splunk support? I can check in on it for you.
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