Yes, both weeds. The first is Oxalis stricta (yellow wood sorrel) and the second is Sonchus oleraceus, sow thistle, a dandelion relative. You don't need fresh soil - just make sure you get all the roots when you pull the weeds.

That first picture has a marigold down in the lower left with the yellow bloom. You'll be Son 'non-gratis' if you shovel prune mom's flowers. Might want to ask her.

Thanks for your comments! Can you look at one more photo you may have to zoom in a bit...all the ones that are tall next to the oxalis.. tons of these are there. Not sure if same as Sonchus?

I don't know what the shrub is, but 100% sure that it isn't Sonchus. Have you seen blooms on it?