dbcc checkdb errors, or msg 601 when restoring SQL 2012 backup to SQL 2016

I need to move two databases, WES and WILL from a Win2012/SQL2012 instance to a Win2016/SQL2016 instance for a software upgrade. I'm using the full backup files from the SQL2012 maintenance plans. I've verified I can restore them to the original SQL2012 instance with no errors. Restoring WES to SQL2016 reports no errors, but dbcc checkdb shows errors: >Msg 8939, Level 16, State 98, Line 13 Table error: Object ID 60, index ID 1, partition ID 281474980642816, alloc unit ID 281474980642816 (type In-row data), page (1:453). Test (IS_OFF (BUF_IOERR, pBUF->bstat)) failed. Values are 133129 and -4. ...etc Restoring WILL to SQL2016 stops partway through the upgrade steps with >Database 'WILL' running the upgrade step from version 805 to version 806. Msg 601, Level 12, State 3, Line 2 Could not continue scan with NOLOCK due to data movement. I thought the upgrade between versions was automatic. Is there anything else I need to do?