Wouldn’t Perrin and Egwene have needed to cross the River Haevin on their journey to Caemlyn (probably before meeting Elias)? Did I miss that in TEOTW?

There is no mention of the River Haevin in EOTW and i have no idea when they cross it, never even thought of it.

On the map, there looks to be a trail that parallels the first river they crossed (The one Rand/Mat see the Tower of Genji on), and that trail looks to cross those the other rivers on the way to Caemlyn.

Chances are there's either small bridges on that trail, or they're easy crossings across those river/streams, unlike the one they almost drowned crossing.