OK . . . You're making progress. You are still confused about the description of those parts but I think you know what you need. Until you get those two replacement parts installed we won't know if you need anything else. Don't forget to get the foam casing for the central locking pump and the mounting bracket and bolt for the security module.
Also I have to share that I am getting frustrated by not getting answers to my questions. Did you do anything to be sure the battery is charged or replaced? Did you get some dielectric silicone compound to put on the connectors? Do any of the connectors look burnt or melted? Is there any water inside the taillights?
When you get back home DON'T try to cut or splice any wiring and DON'T try to connect the replacement parts until we communicate again.