What is the most logical next event?

How to get the swype keyboard on an iphone
Upgrade to ios 8 or newer.
Apple never provided functionality to add other third-party keyboards to their hardware if the ios device is anything lower than that (7.1.2 or lower).
Purchase and install the swype app from the apple appstore.
The app is only 99 us cents, so it's not that bad on the pocketbook. Disable use of guided access from your phone's accessibility options page.