Hello AlisonB61,
Welcome to Apple Support Communities!
We want to help ensure your events are saving properly. Make sure you're using these steps to save your calendar events:
"Add an event
- In Day view, tap
at the top of the screen. - Enter the title of the event.
- Tap Location or Video Call, then enter a physical location or tap FaceTime to enter a video link for a remote event.
- You can also copy a FaceTime link you created or received and paste it in the Location field. See Create a link to a FaceTime call on iPhone.
- Enter the start and end times for the event, the travel time, invitees, attachments, and so on. (Swipe up, if necessary, to enter all the meeting information.)
- Tap Add."
This Apple Support page has the full details: Create and edit events in Calendar on iPhone - Apple Support
Double check to confirm your events are properly created.
If they are still being removed, please reach out to an Apple Support Advisor for further assistance: Get Support
We hope this helps as they will be able to further investigate exactly what might be causing this.
Cheers!