If you had a short between your voltages or ground, you'd get 0 ohms of resistance between said voltages or ground. 1.8v is kind of an exception since it normally has a very low resistance between it and ground on the Wii. If you're worried about the layers being shorted anywhere, I would visually inspect the edges of the board to ensure that nothing is clearly shorted since you can see the layers if you just look at the edges.
It's also worth noting that resistance values are subject to change as you connect things like the Wii PMS and or anything else to the motherboard.
Using Nold's Wii trim resistances guide, it looks like everything except for your 3.3v resistances are as expected, and you said those appear to be rising after you probe for a bit so it sounds like those are probably in spec. I'm too sure why they're changing after a bit, maybe something to do with the capacitors on the board discharging? But higher resistances on that rail (such as the measurements you've gotten after probing for a bit) are a good sign.
I think you're probably fine with this one.