For exercises, methods, and what not. I’ve been playing for five years. I take private lessons and play during school for music class too. I am doing Walfahrt, but haven’t done Suzuki. Should I do Suzuki, and if yes which one?
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Books,
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Good 
At this point to give you guidance without hearing you and knowing you, It would not be proper to try and help.
Talk with your teachers both at school and private. They are in the best position to guide you.
Suzuki.
If your teacher isn’t helping you with repertoire, maybe you need to find a different teacher. See:
Violin Literature (études)
http://beststudentviolins.com/sheetmusic.html#violinlit
Position Work (violin)
http://beststudentviolins.com/sheetmusic.html#position_work
Violin Scale Books
http://beststudentviolins.com/sheetmusic.html#violinscales
and
What is the usual progression of violin études?
http://beststudentviolins.com/PedagogyTech.html#9