1. Archive logging does not occur on the standby database (when in HADR standby mode). But you should define LOGARCHMETH1 and LOGARCHMETH2 (if you use log mirror) in case you have to do a takeover and switch roles sot the standby becomes the primary HADR database. You can run a cron job to clean out the log path on the standby (only when in standby mode) to move the active logs to the archive path that are older than x number of days, and then delete them from archive path when x + n days old (or when archive path is getting full).
2. For maximum availability, the HADR pirmary and standby servers should not share any disk mounts for DB2 instance, database path, tablespaces, or logs. You might want to have an NFS mount for a work area for misc files that could be shared between the servers.