Both are ok, but 'arrived' is more common. Your sentences need a small change, though.
1) Hi John, I have arrived the place.
"Hi, John, I've arrived at the place" OR
"Hi John, I've arrived here" OR
"Hi John, I've arrived."
2) Hi John, I have reached the place.
"Hi John, I've reached the place". (what you said is correct, but more natural to abbreviate "I have")
Of the above, I would usually use 'arrive' and not 'reach'.
I would also sometimes use "I've gotten there/here".