The messages in inbox and in sent message, can't be viewed right now, maybe some updates are to be apply into it, or maybe it is affected with the problem said in the chess.com news (please read this)
You are not alone with this problem, don't worry it's a part of getting bigger and better site.
I have changed my profile picture (avatar) but when I view my public profile its still the old picture? And also I can't read a message I got, it says that the message has been removed.
Help would be appreciated :)