If Firestick is plugged into power it is "on", as there is no on/off switch other than power on/off. Same situation exists for Echo; no power on/off switch.
Suggest you unplug the Fire Stick and try to set up Echo. Unplug Echo for at least 5 minutes, then plug it back in and try to set it up. Once set up, you can then set up the Firestick, but do NOT plug it back in until ready to actually set it up! (This holds true for any device that does not have an on/off switch, and there are plenty of things today like this.)