What is the meaning of the names "Anmar" and "Rajun" and are they Arabic names?

Anmar: the plural of namir (نمر), which is a type of predatory animal. Or it is the plural of namir (نمر) or namir (نمير), meaning fresh water or lineage. It also refers to the wool or hair that falls off an animal. It is also the name of an Arab tribe in Sham (Greater Syria).

As for Rajwan: it is the verbal noun of rajana (رَجَنَ) bi al-makan (بِالْمَكَانِ), meaning to reside in a place.