If you have the game legally and are using the username and password of your MyTrainz account the game is in the settings I just pointed you at, then yes.
The game comes with access to a download station with over 400k assets, one of them being that engine.
An indication that the registration process went correct is the showing of the "TANE" train station next to your name here on the forum. That currently is not there, so my guess is you did not enter the correct details yet in your settings.