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'Come to'/'Come in': what is the difference?

Consider these expressions:

Come to my room.

Come in my room.

When I came in the lobby/corridor in the evening, there were tons of people gathered around for X.

When I came to the lobby/corridor in the evening, there were tons of people gathered around for X.

Can anyone explain to me whether there is any difference between come in and come to in this context? Because of my native language, I tend to use come in rather than come to.