2W is one Watt better than 1W, sure. But not necessarily better in application. A 1W resistor that is surge rated might work better than a 2W.
I have to wonder what took these two resistors out. 0.1ohm 1W should be good for amps of current. Perhaps age snuck up on them, I guess.
If nothing else, I'd go metal oxide and see what happens.
Yes, measure physical size, that will help make sure you get something that will fit back into where the bad ones came out of.