Does anyone here have experience with Game Extractor?

[gameripper]

You can open those files in hex editor (e.g. Hex Workshop) and search for signatures.

Or try GAME RIPPER with "-s" flag, that will do the search and format detection for you automatically. It will also list all the assets in a list with a preview and you'll be able to save them with a single click.

Detected image files will be listed on the "Sprites" tab, audio files either on the "SFX" (sound effects) or the "BGM" (background music) tabs.

Hopefully I can uncover some of the audio files and sprites, especially with that program! I've heard dos games are hard to rip from but maybe this one won't be so hard.

I'm not so sure about that. DOS games are older, there were no OGG nor PNG at that time. You might find MIDI, WAV, BMP and GIF assets though, but most DOS games used their own custom formats. Even if it's not using a custom format, common formats that were popular in DOS times are now deprecated and long forgotten.

Here's some old forgotten formats that pop into my mind:
- .voc - Creative Voice File, stores PCM data like WAV
- .mod - Amiga Module, a music file that stores both PCM data samples and note sheet as well
- .pcx - PaintBrush Picture Exchange, image format for indexed (paletted) images
- .lbm - Deluxe Paint InterLeaved BitMap, also for images
- .fli, .flc - Autodesk Animator Film, video or animation

Opening these on modern systems is quite problematic and challenging. Audacity knows .voc though, for .mod try OpenMPT, for all the image formats Grafx2 is your best chance (all these are Free and Open Source tools).