The value of such a mark would be difficult to ascertain. The goat is a gimmick as well as a trade mark and may have a short life span. Due to the high distinctiveness of this mark, it would probably proceed to registration relatively smoothly. This will give Kim's company a monopoly over pink milk packaging. Substantial evidence that Kim's company has a reputation in the colour pink will be required.
Considerable costs are likely to be involved in preparing such evidence.
The registration of labels are good to the extent that they protect the combined get up. You must bear in mind that such a registration will not protect the individual elements of the trade mark. This depends largely on whether a competitor would want to imitate the label get-up of Kim's company. Should be a straight forward application. In the end, what you apply for in a trade mark application is a commercial decision.