Newb needs help with 03-A3 identity. (PIC HEAVY)

[RaginCajun]

I have an opportunity to get what I consider to be a really good condition rifle. As it turns out, these 03's seem to give a newb like myself a lot confusion as to authenticity. Any help from the gurus here would be greatly appreciated. Seems the serial number (339029*) and the barrel marking (1-43) don't match. Everything is stamper with the Remington R, Stock has boxed FJA and crossed cannons and a "s" at the wedge. The stock has very small pins holding it together. Here are a couple pics, I can provide any needed for id, Thanks from a new guy.

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