I have a Tikka Deluxe in 7Mag - what a beautiful piece of craftmanship. I bought mine from a store in, I think, Arkansas, on clearance at $465 (or something like that). Anyhow, even at $550, the gun is a steal - waaaayyy better quality than any Remchester and very accurate rifles.
As for the .30-06, I think that it's too much for a 13 year old, but, then again, with the reduced loads, then it should be okay. I'm not sure because I haven't shot these reduced loads so I don't know. If these loads really kick much less, then it should be great. Still, I would only advocate taking shots are deer well within 200 yards - and more like 100 yards (which is probably the national average anyway).
Your son has an absolutely wonderful rifle - one which should he should grow into and be with for a lifetime if he takes care of it. :grin:
Zachary