There is nothing strange with your timeline so far. Just good timing of when you submitted your application.
The process moved fast for me in the beginning also (I got the phone interview stuff at 8am after completing the online test the night before) but then it all slowed down after the phone interview. I waited 1.5 months for the assessment day, then another 1.5 months to hear that I had the job. I now have a 6 months wait to start my course because I particularly wanted to do a Tower course, there were much earlier starting dates for Enroute though.
Good luck with it!