Will God punish someone who feels that they have not been successful in their life after striving for righteousness, and wishes for death, and has such a strong sense of guilt that they feel God has not accepted their repentance, despite having been afflicted with looking at forbidden things previously, and is living in psychological, social, and financial distress?

As long as you are repentant, he who repents of a sin is like one who has committed no sin, and he will not be punished in this world or the hereafter. You should consult a mental health professional and strive against yourself to overcome your condition. Find another Sheikh to help you memorize the Quran, associate with good company, strive to mend your flaws, focus on your studies, be kind to your sick mother, pray to Allah frequently, trust in Him and think well of Him, and be patient with this trial while taking the necessary steps.