Only section I would consider not part of the base within the airport boundaries the hazardous cargo pad and related taxiways or the airport control tower but looking at zoning https://geoportal.hawaii.gov/datasets/cchnl::zoning-5/about, I'm pretty certain its fine as is. You'd be surprised how much of the area you'd think is part of the airport but is still part of the base.

The rest I believe would still technically be counted as part of the base even though it's separated by H1 and even though it is publicly accessible, it doesn't mean it isn't part of the base either. The Pearl Harbor National Memorial where you visit the Bowfin and the USS Arizona/Missouri is open to the public but still publicly accessible. Using Bing Streetside, the areas you mention have public areas but likely still belong to the base.