Yes go for it and email them, sometimes the representatives distroy the entire process by thier negligence, do not listen to your lawyer when it comes to critical issues like this matter.(you don't have to tell him do it your own).
that is your application not his application, therefore, any mistakes will affect you directly not him.
and to be honest with you, i do not see any reason for you not to get the AOR letter till now ! i know that each case is different than the other, but sending an AOR letter is not a big deal for the visa office, in your case they have done the harder part which is creating your online file and entering your information to the file, so how come they are not able to send the the file number !!!!
the AOR letter has the same format for all applicants, they only changes are the applicant name and the file number which do not take more than 10 seconds, and click send to be delivered to your email !
i sent my application after you did, and got AOR before you, that is why am sure that they think that the letter has been sent to you.
and always remeber that no one will care about your things more than you, neither the lawyer nor the visa officers.