Some doctors are a nightmare - my brother had a bowel problem and had to see several doctors before he found one to help. He ended up having to have a serious operation, but the first few docs he saw didn't take him seriously at all!
Do you get out (even in your garden, if you have one) in the daytime every day? If I don't get enough daylight I always find it harder to sleep. I know it's a hideous old cliche, but fresh air and exercise really do help tons! It's hard to find the motivation when you're feeling down and tired, but if you know you're not doing enough exercise then that's probably the first thing to look at. Worrying stops me sleeping sometimes, and I read somewhere that the best thing for dealing with that is to write a list of everything that's on your mind before you go to bed. I feel like I've done something productive with my worries when I do that, and it means I only lie there worrying for about 10 minutes instead of an hour or more
Waking up early in the morning is one of the signs of severe/chronic depression, so I think you need to find a better doctor who'll help you out. Hope things get better for you soon *hugs*