Sorry I left out important info re: old InDesign onto newest computers. The old program is definitely the CS2.
The main computer is the iMac which runs Mac OS X 10.7.5, Software Mac OS X Lion 10.7.5, Processor 2.5 GHz Intel Core i5.
The laptop is a MacBook Air (early 2014) OS X 10.9.4, Software OS X 10.9.4 (13E28), Processor 1.4 GHz Intel Core i5.
I appreciate all the answers that have been posted so far and trust that this additional info clarifies everything. I'm very new to all the technical requirements. Thanks.
CS2 will not run on either of those machines.