The old unit has W2 wire... no place on new unit other than W to install.

So far nothing...

Had to tape off a C wire, if that helps.

If the old stat had a W2, you probably have a heat pump with 2nd stage heat (most likely electric). The thermostat you bought is not compatible with such a system. https://customer.honeywell.com/resources/techlit/TechLitDocuments/69-0000s/69-2448ES.pdf