That's a lot of allergies!
"Milk" is a bit unspecific, though. Is it only milk, or anything made from milk? Is it lactose intolerance? Because lactose-free products are widely available. Or is it the cow protein? Then you could still get milk, joghurt and cheese made from goat's milk.
As you are studying in Germany, I guess you speak German? Because then it might be worthwhile to check out Libase (just google it, I'm not allowed to post links yet), they started out as a board for people with lactose intolerance, but now cover all kind of food intolerances and allergies. They have a lot of information on there and yummy recipes as well.
I eat a lot of beans and lentils and chick peas, they keep me really full, and they are a great source of protein. And they are cheap.
Lentil or bean soups are great for cold days (which somehow are still here...) and a can of chick peas with some tomatoes, cucumber and a light dressing is a fresh lunch on warmer days.
I've had a number of food intolerances which luckily enough were only temporary and vanished when I started watching what I eat. So I'm pretty experienced in making dishes without many common ingredients. And I'm happy to help, all the more because being in the same country we won't come up with anything that you can't get here.
Plus I get really tired from refined carbs as well, so I've cut out pasta, rice, sugar and potatoes and only have wholewheat bread for breakfast. I'm still working on my food plan (I'm searching for 10 low-carb, healthy dishes with lots of veggies that my husband agrees we can have for dinner again and again and again), and I'd be happy to share those which would fit in with your allergies, as well.