Melik
Melik is an adapted Turkic/Anatolian form related to the Arabic Malik (meaning 'king'), but it is used historically as a title and as a name in Turkic-speaking regions; the forms are etymologically connected.
No. Melik is not a Quranic personal name; it stems from the Arabic lexical root for 'king' but its use as Melik is historically regional rather than scriptural.
Melik appears in medieval Anatolian and Caucasian sources as a title and in personal names among local dynasties and elites; it survives as a rare given name today.
Yes. Because it is related to the Arabic concept of 'malik' and has historical usage in Muslim-majority Anatolia and the Caucasus, some families choose it for its regal resonance.
Not traditionally; Melik is masculine. In Turkish/Azerbaijani contexts, Melek (meaning 'angel' in Turkish from Arabic malak) is pronounced similarly but is a distinct feminine noun/name.