Here is another PCB I designed quite some time ago. I just sat down and rerouted everything to have better via and track sizes - does it look correct to you?
Just the general comments that (a) it could be more compact and (b) without seeing the schematic, it is difficult to judge. However, it looks quite neat. You have decided not to use a ground plane. Keep tracks away from the mounting holes where possible.
@6v6gt
Here's the schematic.
Compactness isn't an issue - it is already as compact as needed. The back of the PCB has a 9 volt battery holder soldered on, it doesn't need to be smaller than that.
I haven't figured out how to do that on KiCAD yet - still working on that one!
Copper fill
Why do you drop trace size?
Yeah, I know. There is such a thing on KiCad, I just haven't used it yet.
@LarryD recommended that I use 50mil for power, and thinner traces for other things. See post #89 of this thread.
I suspect he meant minimum. All your components here will accept the larger trace size. Your large cap has a small trace for +ve and a larger for -ve
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That's a buzzer. But yeah, multiple components have that issue...
Does it get more electrons on one side? 
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Should I do them all the larger size, or the smaller size? They need to be sized for 600 mA.
Larger, you don’t get a refund for saving copper
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The orientation of Q1 in the schematic looks odd.
How so?
Does it work like that?? A ground plane must have a huge amount more electrons flowing through it 
Nope the pixies go in one side and out the other side. They get slowed by any bottleneck no matter where it is. A ground plane does not increase how many get past it is just to help with induced currents and interference. If you don’t have a ground plane or signal issues then you should have the same size +ve and -ve. In your pcb there is no reason to have the smaller size trace as all your component have large pads.
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Looks good
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Has anyone had any experience doing a ground plane in KiCad?
I'd usually expect to see the emitter of an NPN transistor connected to the ground rail. Of course, there are exceptions say, the first transistor in an NPN darlington pair or a push pull amplifier circuit.
Where did you see the original circuit or is it your own invention ?