It is now possible to see your own moderated posts by clicking on the account icon (top right hand of the screen). Then click on the top orange bar labelled "My Account" and you should see a row of links something like this:
The suspension link only shows any suspensions since we moved onto the new site and it appears that if any link above is missing, then it's because there is no available data. I understand it is planned for suspension history to be imported in due course.
There is now a new system for mods/admin to send a message directly to members and these notes can be found under the "system messages" above. It also shows in the alert icon (the little bell on top right of the screen) so members need to make sure they are checking their alerts so they are aware if there is a message for them.
If you are getting too many unwanted alerts, they can be customised by clicking on the bell, then "manage alerts" and deselect those you don't want.