Pcos?

I think I have pcos but I don't have the long painful periods. My period are fairly short and mild. But I have the acne (new symptom), unable to lose weight and gain it quickly, unable to conceive (been ttc over 1 year now), some facial peach fuzz. My doctor won't test me because he says I'm just "over weight" 🙄🙄 can you have pcos without the period issues??