My Site- Desperate for Help Please

Hi!
My site is datablazer.com/demo. I have got everything worked out except for the shipping.
The company is based in the US so shipping everywhere else is international. The problem is when you put in an international address, the shipping tally does not change.
I have already submitted several tickets but this has not been resolved. Does anyone know how this should be fixed. Please feel free to test my cart and see what I mean. Maybe you have found a fix?
If not I will have wasted the past two months and will have to start over with another company — which I really don’t want to do.

Thanks so much in advance..
Ann