Things I'd Send a Homesick Friend Abroad

DVD with home videos on it
Cheesy but I'd collect a bunch of video greetings from all our mutual friends and loved ones to help them feel connected. It'd probably make them miss home more, but at least they'd see smiling faces that will be waiting for them when they step off the plane.

Stuffed Toy with a Letter
The letter would be from the stuffed toy, saying that it travelled all this way to bring hugs and affection from all your loves ones back home and to join in the adventures. Also: "Hug liberally when suffering from bouts of homesickness"