Hi there Catsh1771,
If you haven't already, you can see if restarting your iPhone 13 may help resolve these various issues going on with it. It can refresh the iOS and apps on it, which is why it can help resolve issues. If needed, the steps below show how to do a restart:
How to restart your iPhone X, 11, 12, 13, or later
1. Press and hold either volume button and the side button until the power-off slider appears.
2. Drag the slider, then wait 30 seconds for your device to turn off. If your device is frozen or unresponsive, force restart your device.
3. To turn your device back on, press and hold the side button (on the right side of your iPhone) until you see the Apple logo.
These steps are from this article: Restart your iPhone - Apple Support
If you've tried a restart and the issues continue, then the next best step is to make sure your iPhone 13 is fully up-to-date. This article shows how to backup and update to the latest iOS: Update your iPhone or iPad - Apple Support
Take care.