Fan isn't spinning

Hi, i'm new to 3d printing and i ran into a problem. One day the printer just stopped working (printing), it stopped feeding the plastic. I noticed that one of the fans wasn't spinning, so i took the head apart and just in case ordered a new fan and replaced the old one. I'm not sure if it's the hot end one or the part cooling one (or if i'm even using the right words), it's the one marked on the picture.

https://preview.redd.it/f38077arq8he1.jpg?width=900&format=pjpg&auto=webp&s=4771b7b78f1e331d2e43c2af6c78b6990d2379f7

From reading the internet, i am under impression that the one marked on the picture should be spinning as soon as you turn the printer on (it doesn't even after replacement), and the other one is software controllable (it spins and does change the speed when i change the settings). Did i get it right? What do i do if it still doesn't spin?

Another thing is that the inside of the aluminum part through which the plastic goes is covered with goo. Is it normal? See the picture.

https://preview.redd.it/6aam9bisq8he1.jpg?width=900&format=pjpg&auto=webp&s=3382a8cdf8c5f0982230bc96ac91ca688f3883fa

Thank you in advance for your help!