body armour 

Because of the hot weather, very light armour was worn by the Ancient Egyptians. Sometimes broad leather bands covered part of the torso of charioteers, but generally soldiers are depicted without any body protection. 

Again the pharaohs were - not surprisingly - the exception. Ramses II fighting as a charioteer was portrayed wearing scale armour with sleeves, covering the whole torso. His legs were of course protected by the chariot.

Scales made of copper (top) and iron (bottom)
The scales had holes and were sewn onto the fabric.
Source: Petrie Museum website

 Often the use of armour was symbolical or for ostentation. Golden scales of mail with precious stones were made for members of the royal family and gods are at times depicted wearing armour.

helmets

Egyptians at war rarely covered their heads, the pharaohs being the exception.They often wore special headgear. At the festival in Luxur during Horemheb's coronation

Amenophis the Third statue wearing a helmet

Foreign mercenaries serving in the Egyptian army continued their own traditions, which, if they were Europeans like the Sherden or Philistines, or Asiatics, generally meant wearing helmets. Nubians on the other hand are never shown helmeted.

Helmet of Barsbay forged with Iron & gold