Can you take a look at this section of the Launcher troubleshooting guide: A new, community-hosted Unreal Engine Wiki - Announcements - Epic Developer Community Forums
Follow the steps here and see if the Launcher will load for you.
Also, looking at your DxDiag, you may need to upgrade your Integrade HD Graphics drivers as well. Try this other thing first, and if that doesn’t work we can look at upgrading the drivers.
Let me know.