Hi Gordon,
When you drag and drop an e-mail into MLO, it does two things: (1) put a link to the exact current location of the e-mail and (2) put a copy of the text. Becuase I like to have my inbox empty, I first move the e-mail to the folder where it will be archived (for example, into the correct project folder) before I create a link. This way, the link won't break when I move it. What you might be able to do is synchronize your PST files. The key will be to ensure both computers have the PST in the same location.
Becuase I use MLO at work and at home, I actually have two different MLO files. One focused on work activities and only on my work computer. One focused on everything BUT work and lives on my home computer and android phone. That might also work for you.
If you'd like to talk more about it, let me know.
Elizabeth