Regarding the caps, for the sake of symmetry the "other speaker" crossover's cap should be made the same as the one that you're repairing. You could change just those 2 caps & then listen to determine if you notice any improvements. If you do like the change then maybe try replacing some others. Alternatively the remaining caps in the Hi freq. crossover section could also benefit from installation of small bypass caps such as 0.1 uF's soldered across them, rather than wholesale replacements.
Regarding building complete new units, "same component values" would include inductive & capacitive Q values, not simply the L & C measurements. You could end up assembling a completed unit that appears identical but does not even sound close to identical. Regarding layout: pay attention to inductor architecture & alignment; they can cross-couple via stray magnetic fields. Just replicate what the designer has already figured out.
Regarding building complete new units, "same component values" would include inductive & capacitive Q values, not simply the L & C measurements. You could end up assembling a completed unit that appears identical but does not even sound close to identical. Regarding layout: pay attention to inductor architecture & alignment; they can cross-couple via stray magnetic fields. Just replicate what the designer has already figured out.