Putting drywall back up in the kitchen after removing backsplash

As the title says, I need to fill these holes with new drywall because when i was removing the backsplash tiles it was ripping chunks of the original drywall out.

The long strip against the concrete wall, the drywall is just glued on to the concrete. What glue would you guys recommend I apply to put up the new drywall?

Any other suggestions will also be appreciated, thanks!