Make sure you have .net framework installed on your PC.
Error 0x81f403e8: The Burn engine cannot run with an MBA under the .NET 4 CLR on Windows 7 RTM with .NET 4.5.2 (or greater) ?
Based on your log, issue with your .5.2 net framework (can you ensure whether it's installed properly) and
qlik sense desk required SP1 of Windows 7 to install it
if you have .netframework 4.5.2 & above and OS Windows 7 SP1 & above version then issue still exists try to clean your qlik sense desktop (take backup of your app and then clean from registry and re-install using administrator account).
also you can check
Hope this helps