My music library
When I restart my computer, my iTunes is on Apple Music, which I have not subscribed to, and I cannot access my music library. How can I access my music library?
iMac 21.5″ 4K, macOS 11.6
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With the release of macOS Catalina a few years ago, the iTunes app became the Music app and was also split into the TV, Books and Podcasts apps. Apple's Music app does not require a subscription to access if you have no interest in purchasing or streaming music from the Apple catalog.
I think you just need to direct your Music app to your previous iTunes music library.
For guidance about how to do that, please see:
What happened to iTunes? - Apple Support
Change where your music files are stored on Mac - Apple Support