I'm not sure it covers the IUD. You might have to keep trying to call your insurance to make sure. BCBS is like the best insurance out there so I'm thinking it should be fine but I think it would be better to check first.
So long as you have insurance in the US, you get free birth control. Part of Obamacare.
Medicare should! But also planned parenthood is free bc and they give you a year supply. They dont look at your medical insurance