Partial Answer
###Puzzle 3
Puzzle 3
The meaning of rebus:
CAKE - C (100 in roman numeral) + L (50 in roman numeral) = LAKE
KEY + N(3) + A(5) -> Insert N as 3rd letter and A as 5th letter = KENYA
LAKE IN KENYA
With addition, maybe the missing reindeer is:
Rudolph, the Red-Nosed Reindeer
Because:
One lake in Kenya is named Lake Rudolf (now it is Lake Turkana) in honour of Crown Prince Rudolf of Austria by dicoverer.