If a disk had a unrecoverable read or write error that caused the disk firmware to mark the sector as bad and bring into use one of the spare sectors you would not know anything about it unless you kept full S.M.A.R.T records of before and after.
Once a JBOD set is broken there is NO WAY of restoring it short of reformatting the set and restoring from backup. Yes there is software that can analyse each disk and create the JBOD file system as a virtual drive and you can get most of your data back (the exact percentage depends on how much of the disks are readable over the set).
Because a JBOD set is fragile, especially if there are no tested backups available, we always steer our clients away from using it. It does work but anyone relying on it without making regular backups, especially if the data stored on it is valuable, is being foolish and asking for pain at some time. Disks fail and it only takes one failure in a JBOD set for you to lose all the data, the same with RAID 0. Only RAID 1 and 5 give security and continuity should a disk fail. Backups to another device are the only way to recover from hardware failure.