Open OE, go to tools/maintenance and this will show you where the files are stored; explore to that window and you can copy/paste the email folders.
For the Contacts just open the contacts and select export.
Take a look at the following Microsoft article: How to back up and to restore Outlook Express data</a>
This article could help as well: How to Backup Outlook Express Mail, Address Book, Mail & Newsgroup Settings, Mail Rules, and Blocked Senders List.
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