In 자기 이리 와 봐, 와 is made up of two elements : 오(the stem), 아(the ending).
But in 떡볶이와 튀김, 와 is just 와 which is a postposition to mean "and".
You should see if what's put after/before it as there're some more cases like this.
지금 해야 돼
In those examples, 야 works differently depending on what it has in front of itself.