To change to a private health insurance scheme you will have to be above the cap limit of €48.150,-- gross per year for the last 3 consecutive years before changing
This is not true, as soon as you are over you can change into a private insurance, also when you come from abroad (was my case).
I dont see any tax reduction for night and sunday work on your calculation, this would increase the salary by about 500-800€ I would say, depends how they do it.
But after all, not very much compared to intern. salary.......BUT......the best package in germany after LH......yes, belive it.....I would say its time for a little ....oooohhhhhhh

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When I joined LTU with around 7000h and rated on A320/A330 my gross was around 50K, so here its 25K more!!!
Thats why I dont work in germany any more.