Post your wheel and tire combos.

Old wheels 10X15 wheels / 4.5 bs, new wheels are 12X15 / 4.5 bs, xtra 2” wider

The 12" wheel will certainly fit, but keep in mind the tire will become very important.

If they measure a tire on a 10" wheel and you mount it on a 12" wheel, it will measure wider than the advertised section width.