Was the questioner's action of refusing his father's mediation in finding him a job, out of fear of taking someone else's right, and his request to his father to inform him of job opportunities without a recommendation; right or wrong?

It is permissible to be appointed through intercession, provided that the appointee is qualified for the position and that it does not result in injustice to others. In the private sector, there is no harm in intercession for someone who is qualified, even if they are less competent than other applicants. However, in the public sector, intercession is not permissible if it leads to prioritizing the less competent over the more competent. If the questioner believes that intercession in the government sector will lead to prioritizing the less competent, then their fear of sin is valid. In all cases, one must deal with the parent kindly and gently, discussing the matter with them to convince them, striving to please them, and seeking lawful employment.