What are my duties towards my job and what is the ruling on my money? Will I be questioned about anything concerning it on the Day of Judgment, knowing that I see reprehensible things in it such as intermingling, music, and pictures of women, and sometimes I discover that information I conveyed to clients was incorrect?

The presence of male and female students together in a virtual classroom or a communication group is not considered prohibited mixing. The presence of music or women in the institution's advertisements does not affect your work or salary as long as you are not engaged in a prohibited activity. If it later becomes apparent that information you provided to clients was incorrect, there is no sin upon you, and you are obligated to correct the error as much as possible.