in reported speech do we change 'here' to 'there'?

yes here changes to there in reported speech check this table out
This will change into that.
These will change into those.
Here will change into there.
Now/just will change into then.
Today will change into that day.
Yesterday will change into the previous day or the day before.
Last night will change into the previous night or the night before.
Tomorrow will change into the next day.
Ago will change into before.
The next day/week/year will change into the following day/week/year.
Hence will change into thence.
Thus will change into so or in that way.