RE: The UPDATE statement conflicted with the FOREIGN KEY constraint "FK_ModelElementData_HasModelId_LayerId". The conflict occurred in database "VPS_AX62_DEV_model", table "dbo.Model".
As the error says, you have a some corrupted metadata in the ModelStore. This is most of the times the result of some operations (import models, move to model, etc), not committing properly the data in the database. There are multiple ways to fix these errors, depending on their complexity.
What I would recommend for you would be first to identify the objects that are causing these problems, and try to resolve the error in the underlying layer by recreating the object (export them, delete and recreate).