Hi Scott,
Thank you for contacting us and I'm sorry about the issue you're experiencing. Since the older version(s) of mSecure isn't a cloud-based app, there is no way to "sign in" to an account where your information is stored online. Because of this, each older version of the mSecure's login password is device specific and your information is not automatically restored when an older version of mSecure is installed or reinstalled on a mobile device. This means you can simply reinstall mSecure 4.5.4 to start over in the app.
How to download a previously purchased app: https://support.apple.com/en-us/HT201272
Scott
How do I reset my lost mSecure 4.5.4 password?
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