This is very common for that type of dryer plug 10-2G was used by a lot of low ballers in resi work. 10-3G is used now with the 1996 change that made that plug an existing only replacement. All the combined neutral and ground carries is the controls current. That is the 2 amps in your measurements.
A 2 pole 30 amp breaker has worked on dryers for years and is correct ( .8 x 30 = 24) just what you measured.
The place may have been built before the 1996 code was in effect in the area.
All in all unless something else is wrong with this circuit or it's wiring I would leave it alone.
