How can one deal with an irritable husband who does not pray and hints at divorce, and what are the verses or supplications that can be recited to improve the marital relationship in light of a feeling of satanic intervention?

You have done well in your eagerness to make your husband happy, guide him to the straight path, and ensure he maintains his prayers. You can utilize indirect methods, such as advising him through sermon tapes or seeking help from righteous people. Ruqyah and reciting the Quran are beneficial, Allah willing. You can recite what is easy for you from the Quran; Ayat al-Kursi and the two surahs of refuge (Al-Mu'awwidhatayn) contain much good, along with frequently supplicating for his guidance.

A husband should not use divorce as a means to intimidate his wife. This dream is a plot from Satan to disturb marital life.