I hope pedestal sinks aren't out of style. I just ordered one from Toto for my master bath renovation!

You shouldn't have any difficulty finding a stylish sink in a pedestal or wall mount style. I suspect you may be far more limited by what I think is the very small size of the sink that will fit. You may need to just start googling. But yes, I think you can put in a pedestal or wall mount and look up to date. Sorry I can't be more help with specifics.

I keep reading that larger tiles make a room look bigger, so I would put in the largest floor tile you can find that you like and doesn't look ridiculous, laid on the diagonal if you want it to look even bigger. But I would definitely do tile of some kind, not vinyl again, unless you're going for a very specific sort of retro look.

Definitely a round, not elongated, toilet, no matter what the salespeople tell you about how much more comfortable the elongated is. And, depending on the exact configuration of the sink, I'd be careful about the height of the toilet. Some of them now come higher, sometimes called right height, I think. It's supposed to be easier on aging knees, etc, but if there's an issue with tall people needing to tuck their knees under the sink, you don't them to be sitting up too high to do that.

Duravit makes some lovely wall sinks that are small. We have one here in a tiny bath I believe it is about 12 inches deep or less and maybe 16 wide. We have a single lever faucet on it by Lacava, Samuel Heath mirror and galvanized barn light looking hanging fixture. Marble mosaic on the walls and the floor is a gray quartz. we get so many complements for a tiny room!