The DS218play has limited transcode capability with Plex Media Server. At best it can transcode low bitrate 1080p video.
Reference: Plex NAS Compatibility List and NAS Compatibility Spreadsheet.
The i965 driver will have no effect, as your system does not use that driver. The DS218play has a Realtek ARM CPU. The i965 driver is used by certain systems with Intel CPUs.
If you want to run Plex Media Server on the DS281play, you need to avoid video transcoding. This means choosing the clients that can direct play your media and/or choosing media that can direct play on your clients.
For example, do not play H.265 video via Plex Web. Except for Safari, web browsers cannot direct play H.265 video. If watching on a Windows PC or Mac, use Plex for Mac/Windows. It direct plays most media, unlike Plex Web.
Also, do not enable PGS/VOBSUB/complex ASS subtitles when using a Plex SmartTV app (LG, Samsung, etc), as doing so results in video transcoding.
You will have better success with clients such as the AppleTV, Nvidia Shield, & Roku. They direct play many more video and audio formats than the SmartTV apps.
Another option is to run Plex Media Server on a more powerful system. This could be a Synology NAS with an Intel Celeron processor, a desktop PC running Windows or Linux, or similar. These systems will have greater transcoding capability than the ARM CPU in the DS218play. They can also take advantage of hardware accelerated transcoding, utilizing onboard or add-in GPUs.
Edit: Hardware Accelerated Streaming requires a Plex Pass. See Using Hardware Accelerated Streaming for additional details, including system requirements.
Regarding the hardware transcoding engine in the DS218play, Synology reserves it for use by their applications. They do not let Plex or other 3rd party applications access that capability. That is why their apps may be able to transcode H.265 video.