Honestly - This has been one of the MOST engaging shorts I've seen around here lately DESPITE the low resolution AND the manic camera work.
The edit timing was perhaps the strongest element.
I ALWAYS wanted each shot to last just a few frames longer but each kept getting clipped at its end.
I can't tell if that's because you wanted them short on purpose or just went a hair wacky with them.

But it sure did keep the frenetic pacing almost falling over itself fast.
I'm not gonna say anything about the resolution.
The tools you have are the tools you have.
God knows a better camera isn't going to make anything other than the picture better.
I've been born and raised in the South. THAT'S pretty much exactly what I'd expect for a redneck family get together.
So, you captured it well, (except for the food and drink and maybe more of the adults yakin' and blabbin'.)
No arguments or fights?
Ya'll must have a real nice family.
Almost decent story telling.
Now, about that manic camera work...
I don't know what your age&body weight are, but you're bouncing that little camera all around as if al qaeda were shooting at you.
Hold the camera a little more still. Take YOUR time.
You might wanna run about (this really means "walk" or "keep up!") looking like a dork with your preference between a fist grip - or - cup-and-saucer grip.
If that's an actual camera-camera or camcorder it'll probably have a standard 1/4" tripod mount screw beneath it where you could add some weight to it that it and your arms don't bounce around
quite so much.
A genuine shoulder rig might impair your genuine documentarian style - but the images WOULD look better.
https://www.youtube.com/watch?v=sa7eeZgqRas
GL!