In an RLC circuit, will the voltages at different points between the different elements have different phases? Shouldn't the voltages across the resistor have the same phase? Should the phase change around the loop be a multiple of $2\pi$?

Note that the phase shift we're talking about in ``AC Ohm's Law'' is a relative phase shift between the voltage across a circuit element and the current through a circuit element-- it's not a phase shift between voltages at different points in a circuit. Although at any given point in time, by Kirchoff's Loop Rule, the sum of the voltages around a loop must be zero, the phase shift need not sum to a multiple of $2\pi$ around the loop.