Why not "Buradaki evi" ?
Subjects are never in the accusative case. Alternatively, that could also be the 3rd person possessive suffix and could mean "Her/His house that is here."
But once again, subjects are never ever ever in the accusative case :)
Is yasli wrong?
yes it is. yasli is used for human, while for objects we use eski
The fact that this distinction/rigidity is built into the language makes me sad.
burada olan ev çok eski
is it right?