I asked our timetabling manager and she said yes it does change weekly in that it displays the next 12 weeks, so every week it changes by adding a week.
Also, at the beggining of semester things are a little fluid for various reasons, so room changes are not unlikely. Therefore it is best to check your timetable often.
Regarding tutorials - these are managed by different subject areas in different ways. Some subjects have them timetabled, others do not. So the best thing to do is to ask/email your tutor.
If there is no general forum on your Moodle page, let me know and I'll suggest it to your tutor. These sort of things could be discussed on a module forum.