Should I see a lung doctor or a heart doctor? Help me decide.?

I'm going to visit a doctor next week because of some lengthy symptoms, but I don't know which kind of doctor to see..Please look at my symptoms and give your advice... Lung doctor or heart doctor.

I am 49 years old iwth diabetes. I am about 50 pounds overweight and I own a business that I am at for about 10 hours a day. i am also a project manager on 2 outside education projects, so i am in a constant mental movement, but my exercise is mostly related to walking between offices in my building.

Here are my symptoms:

1. dry cough that has lasted for about 4 months

2. for the past 2 months I run out of energy quickly and by the end of the week, I'm "spent"

3. A tearing pain in the upper chest. It feels like someone has both hands inside my chest and pulling my chest apart in both directions. The pain sometimes radiates into my back, but mostly on either side of the breast bone.

4. frequent sharp pains in the middle of my chest, with radiating pain that runs about halfway to my underarm. The pain doesn't reach my armpit or my shoulder, just in that direction.

5. getting the hiccups alot lately

6. sometimes having difficulty getting my food to go down my esophogus properly. It feels like the food gets "stuck" and the the muscles can't move the food down into my stomach. Water or drink will not push it down. The only way to move it down my "food tube" is to either walk around or throw up. It's not painful, it just won't go down.

7. i've been under some stress lately and I think it's causing unrestful sleep

8 My blood pressure averages around 170/85, which is actually very high for me. My usual bp is 110/70

9. I have bouts of losing balance, nothing major, just maybe a double step or a brief bumping into a wall, desk, etc.

10. In between the sharp chest pains, I have a heavy feeling right in the middle of my breast bone. It's a constant, dull pain, as if I've pushed on it for a long time and now feels a bit bruised, but it's inside my chest.

11. any kind of smoke near me starts me in a coughing fit.

12: history - paternal grandmother and paternal aunt both died in their 40s from lung, breast, spine, brain cancer

13. Both my parent smoked, so I've been a 2nd hand smoker since I was born.

14. My husband smokes

15. I smoke about 5 cigarettes a week (socially), but I haven't smoked in more than a month, it makes my chest feel tight and more painful

So here's my question...do you think it's my heart or my lungs? Which doctor should I see first and what are the tests that I should expect to have?

Thanks for the guidance.