1) The document discusses various tools for diagnosing problems in Cassandra production environments, including OpsCenter for monitoring, application metrics collection with Statsd/Graphite, and log aggregation with Splunk or Logstash.
2) Some common issues covered are incorrect server times causing data inconsistencies, tombstone overhead slowing queries, not using the proper snitch, and disk space not being reclaimed on new nodes.
3) Diagnostic tools described are htop, iostat, vmstat, dstat, strace, tcpdump, and nodetool for investigating process activity, disk usage, memory, networking, and Cassandra-specific statistics. GC profiling and query tracing are also recommended.