It looks like there is a shop vac somewhere missing the hose and carpet attachment.
The original heater mounted to the firewall, as seen in the last photo. The hose came off the heater and branched off to two vents that are tucked up under the interior windshield trim. The trim has a relief made into it to direct air to the windshield. Yours may be different, but that's how the '63 was set up. Usually not much changed until the Wagoneer rolled out in '64.
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