solid plan but it will be really tight to grab 5V from the pad, I'd recommend finding an easier location like a near-by filter cap.Connect the pad to the regulators input and the regulators output to the new chip.
the only other pin you need to be weary of is pin 33. on the original chip this changes it from 8-bit mode to 16-bit mode (low= 8bit, high=16 bit) and on the new chip it's write-enable pin (low=write mode, high=read mode). You'll want pin 33 tied high. presumable it should already be tied high to force the original chip into 16-bit mode but it's worth verifying. I suppose if it's not high then you'll have other issues since the new chip doesn't support 8-bit mode anyway. basically just use a multimeter and make sure this pin is already tied to 5V
you also mentioned pins 13/32 but these should be ground on both chips.
For the regulators I've used these with good success on a number of conversion/repairs: https://www.ebay.com/itm/2x-3-5-5V-...a=0&pg=2047675&_trksid=p2047675.c100005.m1851
there's no reason the ones you've specced out on Amazon shouldn't work though.
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