We help all our clients fix issues related to our themes. You can check thru our past support tickets to see that.
I have attempted to help you but I think you have misunderstood what the issues are.
I am definitely not trying to pass on the problem to someone else, but from what I have seen, I definitely think there is an issue with your installation of WordPress.
We have thousands of customers using Integral and no one has reported any issues with the Twitter feed not working.
If you are unhappy with the theme then you can request a refund within 14 days of purchase.