Praise be to Allah.
If this young man is pleasing in terms of religious commitment and character, as seems to be the case from the conditions he stipulated, and you (your family) know him from before and he is compatible and suitable, then what we think is that you should agree to marry this person who has proposed to you. The conditions that he has stipulated indicate – in sha Allah – that he is indeed religiously committed and has a sense of protective jealousy. Such a suitor should not be rejected because he stipulated these conditions. It is no secret that there are negative factors involved in studying in a mixed environment and also in a woman’s going outside of her house, which exposes her to the misbehaviour of foolish people in many countries and on many occasions. It seems to us that the brother who has proposed to you does not want to prevent you from acquiring knowledge or working, but he does not want that to be accompanied by haraam mixing or exposure to any mistreatment. Rather he wants that to be in your own private realm and secure refuge, which is the marital home. This is something good and we can only advise you to accept it, especially since you will be able to acquire beneficial knowledge by means of open education programs or distance study, or by following Islamic education programs on trustworthy TV channels and websites, in addition to gaining this religiously committed husband and keeping away from the negative effects of mixing.
And Allah knows best.