Is it better and more rewarding to remain in the mosque from Asr until Maghrib and Isha, and to pray Duha and Dhuhr there, or to perform these acts of worship at home and limit oneself to performing the obligatory prayers in the mosque?

Sitting in the mosque for worship, remembrance of Allah, and awaiting prayer carries great good and immense virtue. Allah Almighty says: (In houses [mosques] which Allah has ordered to be raised and that His name be remembered therein). Al-Bayhaqi narrated that the Prophet, peace and blessings be upon him, said: "Mosques are the houses of Allah. Allah has guaranteed comfort, ease, and safe passage over the Sirat to Paradise for whoever makes the mosques their home."

And awaiting prayer after prayer contains much good. The Prophet, peace and blessings be upon him, said: "Shall I not tell you of something by which Allah erases sins and raises ranks? ...And waiting for the prayer after the prayer – that is the ribat (guarding)." And whoever prays Fajr in congregation, then sits remembering Allah until the sun rises, then prays two rak'ahs, will have the reward of a complete Hajj and 'Umrah. So, it is preferable to remain in the mosque as much as possible, especially at the two ends of the day, without neglecting rights and duties.