Errors 2502 and 2503 are from the Windows installer service. Either the uninstall files for the old version can't be found or it is unable to access/use the temp file directory. To see if it is permissions on the temp directrory, you could try running the installer as administrator to see if that will work.
To install the msi file as an administrator and assuming the downloaded file is in your Downloads directory, open a command prompt as administrator, and type:
Code:
msiexec /i "\Users\%username%\Downloads\calibre-64bit-7.16.0.msi"