1. The farthest South
2. The farthest North
3. The farthest East
4. The farthest West
Hawaii, Alaska, Alaska, Hawaii.
Hawaii
Alaska
Alaska
Alaska
1. The farthest South - Hawaii
2. The farthest North - Alaska
3. The farthest East - Maine
4. The farthest West - Alaska
2. The farthest North
3. The farthest East
4. The farthest West
I realize that this is a trick question. I'll try to answer it in the way that I think makes the most sense, which probably isn't how you get the correct "trick answer", so you can correct me, I'm sure.
"East" and "West" are relative directions, that don't have a pole associated with them. (Unlike North and South.)
You can obviously get to any point on the earth by either traveling in either direction on the East-West axis. One can go from Nevada to California traveling due East - you just have to circle most of the earth to do this. But at no time will you be traveling West.
Oddly, North and South don't work this way. You can't go from Texas to Oklahoma without traveling North. If you tried the same "go South" trick that works with East-West you would travel South until you crossed the poll (or southern apogee of your trip, and then you would have to travel North to the North Pole (or northern Apogeee) and then finish by traveling south again.
So, for North and South it's easy: what's closest to either pole. It's Alaska and Hawaii.
For East and West, you need a starting point of reference.
If you say from Kansas City, Kansas (as roughly the geometric center of the USA) the furthest East would be Maine, the furthest West I think Alaska again.
Just because there are Longitude measurements with North and South in them, doesn't mean that logically Japan is East of Hawaii.
No one would say that Tokyo is East of Hawaii.
I just learned this week that one point of one of the Hawaiian Islands is further south than Key West. Of course it is not in CONUS.
Another directional factoid is that Reno is further west than Los Angeles.