You feel disgust when you have a sudden, very strong dislike of something. Some smells, like rotten food, are disgusting. The person in the picture is disgusted.
Dis forDisinfectant
Disinfectant is a substance that is used, usually while cleaning, to kill most germs and micro-organisms it comes into contact with. Disinfectants by no means kill all micro-organisms, which can cause its own set of problems as the ones that survive can then breed with less competition from the other micro-organisms that the disinfectant killed.
Dis forDisintegrate
Something disintegrates when it breaks down into the components it was made from, or just breaks into small pieces. The building in the picture is slowly disintegrating.
You disobey when you deliberately don't do what you are told.
The photo is of someone parking in front of a no parking sign, and some rubbish dumped in front of a no dumping sign.
The opposite of disobey is obey.
A dispenser is a container with something inside it that has some way of letting you take small amounts of the thing inside. For example, you might have a dispenser that dispenses sticky tape, or liquid soap, or paper towels like the dispenser in the picture.