API: Improve error reporting

This patch improves API errors messages thus fixing some issues (#6878, #3526, #4209, #5335).

`404` statuses have been replaced by omre precise ones:
* `409` when there is a conflict
* `400` when a validation problem occurs

Validation errors are also exposed in API responses.
Line is too long. [137/80]<br>Align the parameters of a method call if they span more than one line.