False (p. 16) - Zombies are non-sentient, and the ability to speak or interpret language is beyond their mental capacities
Zombies react to the movements and actions of other zombies, and work in "herds"
Trick Question (False) - Zombies react to sensory stimuli in virtually identical patterns. This does not imply communication or a herd mentality - but it can provide the illusion that they cooperate as units within a team.
A zombie's moan is a sign that it has found food
True (p. 16) - It seems to be an instinctive reaction to living flesh, and its origins are unknown. Zombies lack the mental faculties necessary to manipulate their vocal chords (provided they are intact), but a moan does not require them.
Zombie's can recognize their loved ones / Zombies can recognize their surroundings
False (p. 14-16) - Zombies are non-sentient, have no memories, and lack the capacity for emotion found even in lower mammals. While the virus responsible for zombie animation creates a semblance of life, it does not create life itself. Many victims in an outbreak will fall prey to the illusion that zombies rising from the bodies of loved ones will not attack them - this is a dangerous myth to believe in.
A zombie is full after eating a certain amount of flesh
False (p. 11-12) - Zombies know only an internal compulsion to feed on the living. They do not process food taken in, and so can never be "full". Eventually, a zombie's gastro-intestinal system will rupture from the amount of flesh taken in.
Zombies are afraid of fire
False (reference pending) - Zombies are non-sentient, and incapable of fear. They have no memory, and can not remember that fire will eventually destroy them. Zombies also feel no pain, and so a zombie on fire will take no action to extinguish the flame.
It takes a zombie in temperate climes about 5 years to will perish by natural decomposition
Arguably True (p. 10, 178, and others) - An American cadaver, circa 1995, takes 10-18 years to decompose in a sealed coffin. Zombies decay at a faster rate in temperate climes for the following reasons:
1. Zombies are unable to replace worn and destroyed muscle tissue through metabolic processes.
2. Zombies are continually exposed to weather, moisture, bacteria, and microscopic scavengers. The natural process of decomposition is accelerated under these conditions.
Obviously, zombies in a jungle will decompose at a faster rate; zombies in a desert, at a slower rate.
Zombies can climb cliffsides and similar structures
Functionally False (p. 14) - The act of difficult climbing requires dexterity and agility that the nervous system and necrotic flesh of a zombie are incapable of supporting; however, zombies are perfectly capable of climbing over each other. As zombies assemble around a barricade with living creatures inside, the sheer number of zombies climbing over each other will eventually overflow the barricade, leaving the inhabitants to fend the zombies off.
Zombies have excellent hearing
True (p. 7)- Unlike humans, zombies are not visually oriented. They use all of their senses in concert to find their prey. Footsteps, scrapes, twigs snapping, and the report of a firearm will all tip a zombie off to your location.
Other open issues will be added and addressed.
Addendum: As mentioned previously in comments, my primary source of zombie lore is The Zombie Survival Guide by Max Brooks. You will find it filed in the "Humor" section. I highly recommend it as a reference guide for those who have an unhealthy obsession with vanquishing the undead.