The product key you entered cannot be used on this machine.
This is most likely due to previous Office 2013 trials being installed.
Related Error Fix
According to Microsoft Support Engineer (Girish) thesolution lies in resetting Surface RT.
Before that you might use the Fix It tool provided on the same page to rectify your problem.
He was of doubt that a failed trial version of Microsoft Project could be the culprit.
But there is no written documentation to prove his apprehensions.
So the likely error could be re-installing the same trial.
Read More:Some Pesky Annoyances in Office 2013 and Resolutions
Error 25004.
As you have seen above, there can be malpractices in obtaining the keys for Office 2013 edition.
Error 25004.
System error 1073422314 can also occur for other reasons given below.
This has connection to Error 25004.
So if you are installing aMicrosoft Office 2010 trial versionthe second time, its one of the causes.
The other hypothetical case relating to both the problems could be thatOffice 2013 being installed over a 2010 version.
This should be the key, for solutions related to Error 25004 problems.