Cool project Austin. Looks like you should have a good runner for under or right around $100. Those 028 saws were tough mfers. Not real fast but they sure work hard and will take a beating.
Honestly a saw that age and with an unknown history I’d be doing crank seals just to be safe, check that fuel line real close and if it’s stiff at all or has any cracking replace it. Carb kit is obvious from your pics and it likely wouldn’t hurt to give it a new fuel filter. Those old air filter were notorious for the flocking coming off and just leaving behind the course wire mesh. Give that filter a good look over as well.
Wish I lived closer. I’d come over and hang with you and your pops and heckle the crap outta ya. Lol