metronome set to 100 BPM
What kind of points would that be? I've never heard talk about that before.
I've found one of the best ways to become familiar with a new scale is to transpose into it, like something in D played in E. Also change modes, like take something written in C major and play it in C minor. It might be a rough start (go slow), but it shouldn't take very long before the target scale feels natural.
I think that the only way to get anything from scales and arpeggios is to get yourself into a frame of mind in which you can enjoy doing them. Have your teacher show you the ideal movement for one or two scales, and then practice them very slowly, with as perfect relaxation and movement as you can. You can use doing scales to teach yourself how to relax, because there's not much in the way of music or fingerings to think about, once you learn them. Play them very slowly, almost as a kind of meditation for many weeks before you start to work on increasing speed. YOu may think that this is a waste of time, especially if you already play fairly complex music, but it's not a waste at all. It will pay off.
This is not correct. Playing arpeggios and scales fast requires different movements than playing them slowly.