No, Qatar is not further west than the prime meridian (zero degrees latitude).
Yes, Qatar is further east than the prime meridian (zero degrees latitude). The midpoint of Qatar is further east by approximately 2,789 miles (4,488km).
Yes, Qatar is further north than the equator. The midpoint of Qatar is further north by approximately 1,752 miles (2,819km).
No, Qatar is not further south than the equator.