Each one of these will take some work to sort out. It seems that you are using File > Import > Assay Library with the .osw file. You could also try to build a spectral library from this file. And it would help to get your files, which you can attach to this support request if they are small enough, or upload to:
https://skyline.ms/files.url
Looks like we should also improve that error message to provide the text of the invalide peptide sequence to make it easier to figure out why Skyline is having difficulty. In 20.1, I had to add code to remove preceding and trailing underscores, because some Assay Libraries specified their peptide sequences like that:
PEPTIDER
If you can figure out what Skyline is using as the peptide sequence, that may also help to debug what is going on. Though, if you provide your files, we can figure that out.
Thanks for reporting your issues.
--Brendan