Yes, there are 613 Torah-commandments, plus many customs.
Halakha
For Jews, all Jews had to wear armbands on their clothes. Jews could not ride bikes or drive cars. Jews were not allowed in certain stores. Many people called Jews, "Dirty Jews". Jews did not have many rights at all. If they disobeyed the rules, almost all of the time you will have a death penalty if you were at a concentration camp.
just believe in God and do the 7 rules that he gave to Mosses
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Yes, they do.
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During the actual Holocaust Jews were not supposed to go to school at all.
yes for ordodox and ultra-orthodox jews reform jews might adapt the rules of shabbat
A government with little rules and little power
None-it was the other way around.
Adolf Hitler
he killed a lot of Jews