I've changed the name of the individual trail segments and created a relation to contain them as a route.  Does this look correct?
https://www.openstreetmap.org/relation/17300859

Also some sections have been marked as part of a route Eagle Creek Trail.  Is this a thing?  Is it possible this an outdated or informal designation before the regional trail plan?  I find reference to the creek in this area, but not the trail.
https://www.openstreetmap.org/relation/10620143