In that case, is my card running normally?
7038 on Fire Strike is actually quite good for a single card. I have two HD 7970s in crossfire and I get just under 13K on Fire Strike. Crossfire typically yields 80%-90% gains on benchmarks so that's in line with what I would expect.
Furthermore, an HD 7950 scores around 6500 on Fire Strike, which puts your 7970 exactly where it should be.
If you were to run 3DMark 11 you would get about 12,000 points on Entry, 8000 on Performance, and 2500 on Extreme.