I certainly suggest strip piecing the checkerboard section. It will keep your checkers more accurate. Remember to flip the seams the opposite direction on the second set so they nest when you sew the checker strips together.

If you are using something that already has the logo on it (towel, shirt, etc.) you should be OK, as you actually purchased the logo item, AND you are not going to re-sell the item.

Have fun with this! It should be a great gift!