There’s a debate on the best way to play this on Uker Tabs, so here’s the way I think it’s best to play it. My version includes the melody and the chords. I think it needs that extra bit of body on the ukulele.
Where there are notes played on the E and A strings, I’m doing a sort of half-up strum with my index finger.
And why not do your ukulele up like this to match the tune.