Answer 1: Generally, the registered permanent residence follows others. In other words, after you are sent to the education bureau of your city, your account should follow (not that the school has issued an account), but you have to declare this account yourself. The Education Bureau is a public institution, and you can't get into your account unless the Education Bureau has a collective account. What needs to be clarified is that the hukou is not in the police station or the police station. When you went to college, your hukou was moved to your school, not to the local public security or police station. At best, they are just household registration offices.
Answer 2: If you want to settle in the location of the Education Bureau, you have to report to the local household registration authority. How can we get approval if we don't report it? If you settle down, of course, only you are the head of the family. It is up to you whether it is necessary to go back to your parents.
Answer 3: The Education Bureau has nothing to do with the talent market. If you are officially hired by the Education Bureau, your file can be placed in the Education Bureau, otherwise it can only be placed in the talent market.
Answer 4: (Same as answer 3).
Answer 5: Your concept of household registration is wrong. In the past, when your household registration was at home, you were with your parents, but at that time, your household registration was in your village, not the police station in your hometown (the police station is the handling institution of household registration, not the "point" where you settled down). If you want to leave your hukou at the location of the Education Bureau now, you are a "non-agricultural" hukou. Because since you went to college, your hukou has changed from agriculture to non-agriculture. Remember, there are only two kinds of hukou: non-agricultural and agricultural, and there is no such thing as a citizen hukou.
There are still some unknown matters that can be consulted with the local household registration administration.
I hope my answer can help you.
Besides, aren't you in the Education Bureau? Ask anyone at work and they will tell you something.