I'm not receiving any new emails on this iCloud account.

Kristinebj Said:

"I'm not receiving any new emails on this iCloud account.: Hi! i got an email to update my ICloud sier i dis this now. But I am not receiving any new emails on this account. Even though it says that i have much more free space to use. Thank you in advance Kind regards Kristine"

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Contact Apple Support:

Ask Apple Support if upgrading your iCloud storage plan is a must.

• Contact Us - Choose Locations
• Proceed from there as necessary

Note: Phone calls are taking a bit to go through at the moment, due do lots of calls. With the Coronavirus Pandemic, many are at home at the moment, with much time on their hands to contact Apple. So, just stay on the line, and you will get through :)

See the articles If iCloud Mail isn't working - Apple Support

If you have trouble receiving email in Mail on iCloud.com - Apple Support