Hello jemma203.
Thank you for using Apple Support Communities. It sounds like you're experiencing issues not receiving weekly summary & Move goal suggestion notifications on your Apple Watch. If so, we'd like to look into this issue with you.
If you are not receiving these notifications and it's not appearing in your Notification Center, you'll want to try the following steps:
On your iPhone, navigate to the Watch app and select Activity. Make sure Daily Coaching is enabled and Allow Notifications is enabled. We also have this helpful resource that you can review for notifications on your Apple Watch:
Notifications on your Apple Watch
If all your settings are correct, you'll want to restart both your Apple Watch and companion iPhone:
Restart your iPhone
How to restart your Apple Watch
Also, if you do have any pending updates available for both your iPhone and Apple Watch, please install them. Just in case, the following resources can guide you:
How to back up your iPhone, iPad, and iPod touch
Update your iPhone, iPad, or iPod touch
Update your Apple Watch
We hope this information is useful. Best of luck.