I really like that shade of green! My mind went immediately to a Kelly and Gold color scheme, which I think would look gorgeous for a Hawaii team! For the mascot though I think something like Cardinals (I know it's a bit hard with the color scheme), Sparrows, Ducks or Mallards would be some collegiate names we could go with. Hawaii has a lot of unique bird names which might be tempting to choose but imagining an old school, I'm not sure if they'd pick such a unique mascot that nobody outside of Hawaii would really recognize. For example, a quick Google search leads me to find out the Rainbow Warriors we know of today started as the more basic Deans. Which leads me to support my idea of a more traditional name, as much of a downer that idea could be.
Also it shouldnt matter too much, but the founding date is way to old for a Hawaiian school. I'm going to suggest we change it to 1900-1950 since that's more align with Hawaii's history. Hawaii's oldest school irl was founded in 1907. Hawaii also wasn't a US territory until the 1890's. So I think pushing it back 100 years makes more sense
As for a first idea for a name for the country, I say Hilo, which is one of UH's bigger campus's irl, would be a good place to put the university, which makes something like Hilo University an easy choice. Hawaii State University or maybe even Coastal Hawaii University (piggybacking off the recent Coastal Florida submission)