Hi sharonwrightnp,
This kind of thing can sometimes happen when initially enabling iCloud Music Library. If the actual files for the songs in question were not resident on the root device (i.e., the computer running iTunes), then when the content is merged, it's possible that previous purchases--which happen under one kind of licensing for digital sales--may pick up the "credentials" of the songs as if they were added to the library as part of the Apple Music subscription. Streaming is a whole different license than digital purchases and sometimes songs can be purchased in a specific region but not streamed.
The best way to deal with this will be to try these steps:
1) Turn off iCloud Music Library on all devices. In fact, if you can pull this off, it's even better to shut everything except the computer running iTunes down for the time it takes this process to complete.
2) Once it's just the computer in the equation and iCloud Music Library is off, make sure the content you're having issues with is available and--this part is crucial--actually downloaded to the computer.
3) Use the Update Genius function in iTunes at File > Library > Update Genius.
4) Re-enable iCloud Music Library just on the computer and then use the function at File > Library > Update iCloud Music Library.
5) Wait for that process to complete before enabling iCloud Music Library on any of your other devices.
This process has a good track record for fixing these kinds of issues but it's not a 100% fix in all cases. There are two other paths to take here if these steps prove ineffective for your particular case. The first would be to consider using iTunes Match in conjunction with your Apple Music membership. This is what I do, as do many people I know with very large iTunes Libraries where the music came for CDs. You'll find more info about iTunes Match here:
Subscribe to iTunes Match - Apple Support
The other path if the above steps do not resolve the issue would be to get in touch with Apple Support where the issue can be appropriately escalated.
Contact Support
Cheers.