Hello.
1) Use only mail with your domain. Not Gmail.
2) Try different types of E-mail scripts.
3) Delete all site files from the hosting and reload it completely.

I need to solve this problem in particular:

The original administrator mail was canceled: (***) - the company canceled this service.

The administrator mail is already set in the WX5 settings: ***.

However, no e-mails are sent or e-mails from the e-shop.It worked two years before, but it hasn't worked since the last WX5 update.

Thank you in advance!

Hello Boros 

I'm currently providing support for this issue on your other topic here:

https://helpcenter.websitex5.com/ru/post/248209

Please continue there

Thank you

Stefano