ok so it might be hormone problems,this would explain your short periods,although mine only last 3 days and i have no trouble concieving now i did with my son it took me 3 years! and just when i gave up and went for testing i got pregnant 10 days after my booking appointment couldnt even have the tests because i got pregnant so i think stressing about being infertile acctually made me infertile until i relaxed a little,have you tried using home ovulation tests they arnt expensive and you can buy lots online or from a drug/medical store these will show when and if you are ovulating,also you may want to try the medicine the doctor wants to give after all it can only help cant it good luck and keep intouch