I'll do my best to answer your questions in sequence.
Item 1) Our standalone IDE has no concept of test cases. We have a test priority property which can be used in dynamic test lists. Other than that this field is not actively used by our IDE. However you can associate a Test Studio test with an MTM test case and gain the same functionality that way.
Item 2) What we capture is the full test log, which is in plain text, and a single snapshot of the browser at the point of failure if a test step failed.
Item 3) See 2 above
Item 4) I'm sorry but we know very little about how to use MTM. What is "perform analysis on Tests results"?
Item 5) No not using our standalone IDE. But again, if you associate a Test Studio test with a test case in MTM you can use MTM's feature to accomplish the same thing.
Item 6) We don't have a "Test Manager" like MTM.
Item 7) Our standalone IDE is an independent window. You can place it anywhere you want on the desktop. It is totally separate and independent of the application being tested.
Item 8) Only WPF based applications and Silverlight out of browser applications. Applications that are based on native C++ code or Microsoft Winforms are not supported.
I hope that helps.