Aperture and Rosetta problem
Running Aperture under Rosetta will be a painful experience.  It will not be swift.
Note also that working with different versions of aperture on a common library is a good way to get corruption.  Apple doesn't recommend running aperture on non-local disks either.  I've tried it, and while pictures are present, seaches return far too few results.

If you bought Aperture through the App Store, you should be able to unlist your stolen mac at the store, and install it on your newer mac for no charge.  If the current old mac book won't run the current aperture version, then I think that there are older versions on the Mac web site. 

Finally, once you authorize the new laptop on the app store, you can just share the apps folder from your iMac, and drag and drop the Aperture.app folder from the older iMac to your laptop.