1. How can the principle of "there is no compulsion in religion" be reconciled with the apostasy حد (punishment) in Islam? 2. How can the Almighty's saying, "My covenant does not extend to the wrongdoers," be reconciled with the fact that prophets like David (peace be upon him) were descendants of Abraham (peace be upon him)?

There is no contradiction between the verse "There shall be no compulsion in [acceptance of] the religion" and the command to kill an apostate. Nor is there a contradiction between the verses that state Allah’s covenant does not include the wrongdoers, and the verses that mention some prophets were from the progeny of Ibrahim. The verse in Al-Baqarah indicates that Allah’s covenant does not include the unrighteous among Ibrahim’s descendants. There is a difference of opinion regarding what is meant by the covenant (prophethood, imamate, faith, or Allah’s religion). The prophets mentioned in Al-An'am from the progeny of Ibrahim were righteous, so they deserved this covenant because they fulfilled the condition of not being wrongdoers. This is if the pronoun in "his progeny" refers to Ibrahim; otherwise, others have opined that it refers to Nuh.