New to GURPS: Zombie Apocalypse

[Mateus]

I feel a "little" D&Dish in the characters concepts that you came up. There are several things that you have to have in mind. First you have to accept that in GURPS points DOES NOT converts to "power" or "level". With the same points you can make a killing machine, a very little effective warrior, an schoolar, an animal, a car (yes, I am talking about a vehicle), etc. So dont get locked by points limits (especially if you are making the pcs and want primally to focus on concepts). Dont try to stat out everything that you need, because normally you just need a rought idea of the capabilities of a monster, npc, vehicle, god, etc to make it function as a GM tool. You should take a look on old posts because there are TONS of then that regard zombies.

I willl leave here a full writte up of zombie that I made for an old zombie-apocalypse game of mine:

Zombie Meta-Trait Template [-234]:
Attribute Modifiers: ST +4 [40]; IQ -6 [-120].
Secondary Characteristic Modifiers: Per +4 [20].
Cultural Familiarity: None [-1].
Language: None [-6].
Advantages: Dark Vision [25]; Doesn’t Breathe [20]; ‘’ Eat Or Drink [10]; ‘’ Sleep [20]; High Pain Threshold [10]; Indomitable [15]; Injury Tolerance (No Blood, No Vitals, Unliving) [30]; Resistant Metabolic Hazards (Very Common, Immunity) [30]; Single-Minded [5]; Subsonic Hearing [5]; Temperature Tolerance 10 (-32oC to 54oC) [10]; Unaging [15]; Unfazeable [15].
Disadvantages: Appearance Monstrous (Universal +25%) [-25]; Bad Smell [-10]; Bestial [-15]; Bloodlust (6/-) [-20]; Cannot Learn [-30]; ‘’ Speak [-15]; Disturbing Voice [-10]; Easy To Read [-10]; Fragile (Unnatural) [-50]; Frightens Animals [-10]; Hidebound [-5]; Incurious (6/-) [-10]; Infectious Attack (Bite) [-5]; Low Empathy [-20]; No Sense Of Humor [-10]; ‘’ Smell/Taste [-5]; Numb [-20]; Odious Personal Habits (Eats Humans) [-15]; Social Stigma (Dead) [-20]; Uncontrollable Appetite (Human Flesh And Blood, 6/-) [-30]; Unhealing Partial (Need To Eats Human Flesh Or Blood) [-20]; Wealth (Dead Broke) [-25].
Quirks: Sexless [-1].
Features: Fixed IQ [0]; No FP; Sterile.
Skills: Brawling (E, DX+2) [4].

EDIT: Its only an example and I would make it very diferent now a days. You may want to pick up Horror to have some good tips and creatures to run such a game.

For such a game that you propose I would make quite normal humans, like a priste, a nurse, an police officer, a hunter, a street thug, an mechanic, a teacher...