When you being a new install of PlexMediaServer on DSM 7,
It does several checks internally as it prepares to install.
Everyone has a different usage & configuration for their Synology.
The Failure message (RED text) will tell you the next step(s) to preform.
You might need repeat this a few times. It is unavoidable. Sorry.
Once it starts, Do not interrupt or reboot — Even if Package Center prints error
(IFF  Package  Center prints an error – Check Resource Monitor → Processes.    Look for chown, find, realpath, and mv  (mv is the most critical)
Migration.log (Plex share) will detail where it’s at in the process.
As requested: