If you installed using the installer, and used vanilla mojang launcher it'll work.
But a few things to note:
1) 1.7.10 isn't actively supported here anymore, you should update to a modern version they are a lot better.
2) You can copy/paste that text, instead of posting screen shots, it's far more helpful as it's less of a pain for us to read. Esp if it's large amounts of text.