How can one overcome feelings of depression, worthlessness, loss of purpose, and questioning the value of prayer, while experiencing apparent academic success, a sense of inner failure, and hatred of life?

Depression and chest tightness result from distance from Allah, in fulfillment of His saying, "And whoever turns away from My remembrance - indeed, he will have a difficult life." This is caused by sins. In contrast, the soul's expansiveness and tranquility come from the remembrance of Allah, as He said, "Unquestionably, by the remembrance of Allah hearts are assured." Righteous deeds bring a good life, as in His saying, "Whoever does righteousness, whether male or female, while he is a believer - We will surely cause him to live a good life." The solution lies in sincere turning towards Allah, obeying Him, and avoiding His disobedience.