Currently Telerik Reporting will always be refresh on ajax request and this is a known issue that has been addressed and would be part of the Q3 SP2 release expected this week.
Also from the information you've provided on the second issue, it is not clear how and where do you assign the value for the textbox. Note that you cannot use databound items in page footer section and if you would like to set a value there, you can use the approach from this KB article: Using data source fields in Page Sections
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