Please update Java to the version 6u21.
Please reinstall Jdownloader into c:\programs\jdownloader (do not just copy it). Then, copy the contents of the jdownloader\config directory from the old copy to the new copy (this preserves your settings and links). The directory you are using is a problem in Windows 6.1 ("7").
Please tell us if this helps.
Please make sure that jdownloader.exe, java.exe, and javaw.exe have full privileges in ESET. Make sure they are listed as exceptions in imon.
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