There's nothin like a little 'Air Braking' to slow you down. (Remember the movie > '2010'?) Just inflat a couple of blimp-sized balloons on the side of your mile-long spaceship before you get ready to orbit Zeta2 Reticuli and then start braking. Could work. Of course it's possible you may have to make a few hundred orbits around Zeta2 Reticuli inorder to slow your mile-long spacecraft down enough to stick your head out the spaceship's window to say hello.