To be eligible for an HSA, you must have an
HDHP (High Deductible Health Plan).
If you have Medicare, you can no longer contribute to an HSA (note: this means to be actually enrolled in Medicare, not merely old enough to be eligible).
Medicare or None means that you either were on Medicare or you no longer had an HDHP, thus you are no longer eligible to contribute to your HSA.
Self Only means that this HSA (and the HDHP) are for you only, as opposed to the Family Plan which covers a spouse or dependents.
The months you indicate help determine what your annual contribution limit is.
