In addition to that, you can even assign your CP to your fresh new level 3 character. They can't earn new CP, but can profit from the buffs your existing ones give.
Yes, and your other vet characters can "help" earn CPs faster. Some Xp earns are easier...like the first time you close a dolmen with a character. If you have multiple vet characters, you can go grab the easy xp and cut down on CP grinding.