Hi,
A CBC and an hemoglobin electrophoresis should be able to determine if you are a thal carrier or if there are any other anemias at work. As Sajid has pointed out, you can't be a thal major. You should verify whether you are a carrier as thal is a genetic disorder and the genes are passed from one generation to the next. If you were to have children, they should be informed if they are carriers as the main danger occurs when two carriers have children and both pass the thal gene to the child. This child would then be a major. If your child carried thal and had children with another carrier, the possibility of having a thal major child would be 25%.
To set the record straight, the founder of this group, Lisa Cammilleri, was a transfusion dependent thal, but her death was caused by hepatitis C, which she contracted from a transfusion in the days before testing for hepatitis was in place.