These look they date back to the (very) early days of CDs. At that time there was a lot of problems with burning your own CDs. All that has been solved in the years after, but the early units often only played “official” CDs. So my first test would be to take a real CD, store-bought, and see if it plays that.
Another option is when you burn (and burn audio CDs like Squarecell correctly said) to manually set the burning speed to the lowest setting. This will take longer to burn, but can increase the chance of yielding a readable disc.
Something else is that CD-players can (and usually do) lose their focus over time and need to be realigned after a while. It’s why serious companies have their stuff checked and maintained every other year or so. The more transport the players went through the bigger the chance for misalignment.
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