Out there suggests an area outside of the speaker's location.
Out here suggests an area outside of the listener's location and where the speaker is.
Over there suggests an area at a relative distance from the speaker's location,
Over here suggests an area at a relative distance from the listener's location and where the speaker is.
In there suggests the inside of an enclosed area not at the speaker's location.
In here suggests an enclosed area which is the speaker's location.
Under there suggests... etc.