Hi wmcotton, welcome to BC.
As strange as it sounds, copies of the original messages you sent may have met the junk mail criteria for your inbox folder.
Look in the junk mail folder and all the other folders as well. At Tools>Options>Junk E-Mail, select "No Automatic Filtering" and make sure "Permanently delete junk mail" is not selected at the bottom.
If everythings good there, at the main outlook window, click View>ArrangeBy>Current View. Make sure "Messages" is the only option selected there.
Let us know what you come up with. It's possible you may have a corrupt folder as well.