I want to check my login and logout record.

I was away from chess.com for approx 15 days, but when i logged again i saw that 2 of my chess.com message were read(by someone other than me) so i want to know my log record so that i can check if someone hacked my account or not

Unfortunately it is not possible to check your login record. However, if this is the case then we recommend that you change your email (http://www.chess.com/home/change_email.html) and/or password (http://www.chess.com/home/change_password.html) to prevent your account being compromised.