Based on the description provided I would suspect migraine headaches
which are quite common in women especially during or around the period. I would advise you to consult your physician or a neurologist
for the same and relate to other symptoms if a migraine headache.
Regarding the lower abdominal pain
, as mentioned by you, this could be dysmenorrhea in itself, but it is best to rule out other causes like cysts with the help of a transvaginal ultrasound
Hope this helps.