Below are some tips to solve such errors in weebly website.
1. Web Browsers
Try use different browsers to publish your weebly website. For instance, if you are using Google Chrome to publish your weebly website and you are encountering the
Oops ! The system encountered an error. Please try your last request again' error , try use Internet Explorer or Firefox to publish your website.
2. Use different Computer
3. Slow Internet Connections
You may get the error if you have slow internet connections. Sometimes if you're using a wireless connection, it's possible that the connection is coming in and out just enough to cause a problem. Check your internet connections.
4. Clear cache
Can you try to clear your cache, close your browser, re-open it and then access Weebly?