Is a person's prayer valid and acceptable if they pray at home and feel comfort and tranquility, whereas they feel fear, trembling, distress, and the whispers of Satan when praying in the mosque?

Your prayer at home is valid, and its validity does not require it to be performed in congregation or in the mosque. However, your questions indicate that you are afflicted with obsessive whispers (waswas). Therefore, we advise you to fear Allah Almighty and to strive to perform prayers in the mosque. Also, exert effort in repelling and disregarding the whispers concerning creed and prayer, and do not pay attention to them. Allah Almighty has said: "O you who have believed, do not follow the footsteps of Satan. And whoever follows the footsteps of Satan - then indeed, he enjoins immorality and wrongdoing."