"Into" means inside of, no matter where it's used. "In to" can mean inside of (but that would not be proper, because you would use 'into' instead), but it can also be used to describe someone entering a location & their purpose for being there, as shown in example 2.
Actually, there is a difference. Into refers to the inside of or in toward, like I went into the house. When in and to are separate, the word to goes with the verb in the sentence: to get, to buy, to call, to text. I went into my house to text my friend becomes I went in to text my friend. (I would not write I went into text my friend.) Hope that helps.