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Have you setup log retention? Take a look at this https://druid.apache.org/docs/latest/ingestion/tasks.html#task-logs and specifically at:

If you are running the indexing service in remote mode, the task logs must be stored in S3, Azure Blob Store, Google Cloud Storage or HDFS.

To set that up, see this: https://druid.apache.org/docs/latest/configuration/index.html#task-logging

I think this will help. But any idea why my stream gets disconnected frequently? Either I lose my conenction to stream or I am landing up with unhealthy tasks.

Not sure, the task log should say something about it. I suspect network problems between druid MMs and Kafka brokers.