There's no difference between plasmon and plasmon polariton. Both of them indicate the resonant excitations involving electromagnetic wave and collective electronic motions simultaneously.
"surface" stresses that the excitation in many cases occurs at the interface of a metal and a dielectric. However, there exist bulk plasmons as well. So "surface plalsmon" and "plasmon" don't necessarily mean the same thing.
Besides, you will see key word "localized" with "surface plasmon". That's because surface plasmon could exist on an extend surface or the surface of a finite nanostructure, e.g., a nanoparticle. The former is usually mentioned as just "surface plasmon", the latter "localized surface plasmon".
Reply to your follow-up question:
As for the conceptual difference between surface plasmon and surface plasmon polariton, I think Punk_Physicist has well explained it. The polariton here means the mixture of both electronic and electromagnetic excitations. In fact, these two are always happening together. Section 1.1.2 in the paper you gave tries to put forward a theoretical formulation for surface plasmon, so to say, electronic excitation alone. They let light speed be infinite while keeping frequency finite, then everything becomes electrostatic. You can see they use electric potential, which indicates electrostatic studies. Under these (unrealistic) assumptions, electronic excitation, surface plasmon here, is obtained without electromagnetic wave (clearly because it is electrostatic).