unlimited growth is ok when your database growth is fairly stable, again when you are keeping an eye on the database itself just check the free space on the drive.

size your log to handle the largest log backup, I would guess it is already around 2GB? I would presume this log backup is after your reindex job. If this is giving you any problems there are things that can be done, otherwise if all is running ok no harm is being done.

The reorganize data on the optimisations tab is the same as a reindex. It actually runs a DBCC DBREINDEX job.