Ask for a hemoglobin electrophoresis test to determine if you carry beta thal. Your numbers do match thal minor, and your RDW is lower than one would expect with iron deficiency. Since your Hb did rise after taking iron, you may have been deficient. An iron panel should be done if thal minor is confirmed by electrophoresis before you take more iron.
I would also suggest having your vitamin D level checked to see if that might be a cause of the tiredness.