This Photoshop tutorial covers:

• Size and Adjust
  • Unsharp Mask
  • Patch Tool
  • Clone Stamp Tool
  • Content-Aware Move Tool

Tutorial file

Here’s what the scanned photo looks like

Unsharp Mask

Here’s how I sharpened the photo with the Unsharp Mask

Patch Tool and Clone Stamp Tool

Here’s how I removed the blue mat using the Patch Tool and Clone Stamp Tool

Content-Aware Move Tool

Here’s how I adjusted various parts of the photo with the Content-Aware Move Tool