I'll just paste everything here as most of these are small things. Mind that they are still using R1 2013 (they haven't had the chance to update yet), so some of these might have been fixed in the newer versions. Let me know if that's the case:

--Several Telerik dialogs always appear on the "main" monitor, no matter where the Telerik main window is. For example, the Test Studio Test Runner (script execution console window), the Select HTML Element dialog, and the Edit Element -> Find Element (element criteria definition) dialog.

Telerik: Added a separate feedback for the Edit Elements window. The Test Studio Test Runner is a separate from Test Studio application and we cannot tie it with it.
http://feedback.telerik.com/Project/161/Feedback/Details/128826-some-telerik-dialogs-always-appear-on-the-main-monitor-no-matter-where-the-tel

--Hint area (colored background) below Element Properties should be resize-able.  I always want to make it smaller, so I have more room to see Properties and/or Elements without scrolling.

Telerik: Added a separate feedback item.
http://feedback.telerik.com/Project/161/Feedback/Details/128834-the-about-section-in-the-bottom-of-the-the-elements-properties-area-is-not-resi

--Having two selection indicators in the script (highlighted row and margin-caret) is very frustrating.  I when I paste into the script, I expect the insertion to happen at the highlighted row, NOT at the caret.

Telerik: I am not sure what you are talking about. Would you please give more details.

--I prefer to be able to watch the console output from scripts as they run.  This is available when running a single script when looking at the file.  In previous versions of Telerik, running a test list also showed a console with the current script output.  Each script used the same window and I could follow what was happening when I put the console window on a different monitor.  In the version of Telerik we use (2013.2.1219.0), test list execution has been delegated to another app, and the console output is hidden and difficult to find.  Even when I have the execution app's window open and set to show the console output, the window does NOT scroll to show me the current output lines.  They appear at the bottom of the window, and out of sight.  Even when I scroll down to them, additional lines appear below the bottom of the window.

Telerik: In latest internal builds and in the upcoming official releases the local list execution does not run through the Test Runner. It runs the way it did before the 2013.1 release. So I suppose, you will have the same experience that you had before.

--Everything that you can manually position (windows, pane edges, heights, widths, etc.) should be 'sticky,' and return to those positions when Telerik is restarted.

Telerik: Added a FR for this one.
http://feedback.telerik.com/Project/161/Feedback/Details/128840-everything-that-you-can-manually-position-windows-pane-edges-heights-widths

--I would like to be able to manually move an element from one page definition to another by dragging & dropping it in the Elements pane.  I would also like to be able to duplicate an element in another page by copy & pasting in the Elements pane.

Telerik: Added a new Feature Request for this one.
http://feedback.telerik.com/Project/161/Feedback/Details/128842-manually-movable-elements-between-pages-and-copy-paste-of-elements

--Each time I change a property of a Page element, the Elements tree rebuilds all elements.  For example, just checking the checkbox for "AlwaysUseTitleInCompare" causes a rebuild, and I am forced to wait for it to complete before I can change additional propeties.  After modifying the text in a property, clicking on another property (changing focus) also forces a complete rebuild of elements.  I think it might be more user-friendly to wait for a file-save to rebuild all elements.

Telerik: We know about this behavior and right now there are some technical reasoning behind that. I added a FR, so we don't lose the feedback.
http://feedback.telerik.com/Project/161/Feedback/Details/128844-do-not-rebuild-the-elements-every-time-a-small-change-is-done

- -The "Select Html element" popup that opens when I am about to select new (or different, another) element for a step lacks features to sort all elements on name and to show only the elements relevant to this test case.

Telerik: Added a new FR for this one.
http://feedback.telerik.com/Project/161/Feedback/Details/128847-add-sorting-in-the-select-html-element-window

- -The "Find Element" dialogue: I don’t like the default behavior that Enter means Close (it often closes when I confirm hit returned from DOM search), can I remap the key binding at least so that it closes on Esc?

Telerik: Unfortunately  the key shortcuts cannot be remapped.

- -The "Find Element" dialogue: How many levels are there supported for element definition? I can get up only to two levels of embedded Html elements like e.g. <tr> and <span> but not more, even "Advanced" just adds attribute filters to the inner level element but doesn't create third level element; If the nesting level gets ever supported, it should support drag-n-drop for easy movement of element conditions in the tree.

Telerik: Unfortunately the functionality here is a bit limited. For now I cannot tell you if we are going to enhance it soon.

- -Dialogue "Find Element": inability to provide more than one data driven parameter for one Html element.

Telerik: Added a FR for this one.
http://feedback.telerik.com/Project/161/Feedback/Details/128864-find-expression-builder-inability-to-provide-more-than-one-data-driven-parameter