Is Big Sur compatible with Adobe suite and Adobe acrobat DC?

Here are the details on Adobe app compatibility with Big Sur, directly from Adobe: https://helpx.adobe.com/download-install/kb/macos-big-sur.html

It is the responsibility of the third-party vendor, not Apple for the application's compatibility with the operating system.

Yes, if you have an Adobe subscription, and you have applied the current Adobe updates which have been provided monthly since June 2021.

It’s the other wasps around software has to be compatible with the operating system, if you post the version of the software suits you inquire into people can google and post the requirements pages from adobe