The use of "camp" in the name of a U.S. Army Base is incorrect. Camp precedes the names of U.S. Marine Corps Bases (i.e. Camp Pendleton). The names of U.S. Army Bases are preceded by "Fort" (i.e. Fort Leonard Wood).
When Fred calls Wilma from the Army base, Wilma's phone has no cord connecting the handset to the base.
When Fred and Barney become privates in the Army they only get issued military hats while still wearing their civilian clothes, every other person in the Army are seen in full military fatigues or uniforms.