They both do look like beta minor, and as you said, the wife's low serum iron would indicate coincident iron deficiency. No HbH inclusion bodies are present, but this is not definitive in adults. However, the elevated HbF of over 2% would be less likely if alpha trait was also present. Often, the only sure method of determining if alpha thal is present is through DNA testing. Most types of alpha thalassemia act to moderate the effects of beta thal in majors, so carrying alpha in addition to beta is often advantageous.
The important matter with this couple is that their offspring would have a 25% chance of being thal major. The couple needs to be aware of the possibility.