Hello Mark Hartzell, thanks for posting in the community.
The only way to make your folders and rules appear online is to move the emails from your PST file into your IMAP mailbox using the classic Outlook on your PC, because the new Outlook does not support PST import. After moving the data into the IMAP account, the server will sync everything, and your folders will show up in Outlook on the web, including any new rules you recreate there. Once the data is stored on the server, it will appear on every device where you sign in.
Kind regards,
John Oli