Hi ixadorexpink and welcome,
A simple blood test called a hemoglobin electrophoresis, should be able to determine your status. One of the two parents is a carrier and with your history, it is likely you, but this can easily be verified and is important to do, because you should not take iron to correct the anemia if it is related to being thal minor and not a result iof an actual iron deficiency. Iron can cause problems when taken long term, so it is best avoided unless it has been determined through a panel of tests called iron studies. The test should be covered by insurance and should not be expensive.