Guerrilla warfare took place under Prince Caspian against the Telmarines. Hordes may only be downgraded to Lurkers if the general is downgraded to a Blade. Narnian shields carry a red lion rampant on a white or silver field. There is a reference however to a red lion on a green ground being used on a banner. Calormen was a desert kingdom far to the South of Narnia and generally hostile to it.
Horsemen appear to be armed at least with a sword and possibly with lance as well.
Dismounted Calormenes fought predominately with scimitars. At the Battle of Anvard, however, a Narnian giant was killed by an arrow so some of the horsemen would appear to have had bows as well. The army that invaded Archenland was entirely mounted but dismounted to attack Anvard. The Horse and His Boy' contains a single reference to chariots being used in war. Tash was the primary god in the Calormen pantheon.