Is it permissible for a Muslim who listens to religious channels to speak to others about what he hears from the Book of Allah, the Sunnah, and fatwas, as a form of da‘wah (inviting to Islam), and will he be rewarded for that? And what if he makes a mistake in conveying it?

It is permissible for a person to benefit others with what they hear and understand from religious channels, and they will be rewarded for it. However, it is necessary to ascertain and verify the true understanding of matters. If unable to do so, one must inquire about them before conveying them, especially concerning the Quran, Hadith, and matters of lawful and unlawful, lest they be misunderstood.