The reason why Koreans eat rice with a spoon is because eating rice with a spoon is more practical for scooping up the grains of rice, especially for other watery dishes like stews as well.
Eating rice with a spoon in Korea is a traditional practice which also dates back to the Bronze Age and spoons are much better suited for scooping of soupy rice mixtures and are also used for the spoon based Korean dishes like soups and chopsticks are mainly used for picking up the various side dishes, "banchan" that are served at a Korean meal.
The reason why Koreans wear gloves while eating certain foods is to prevent their hands from becoming greasy, or sticky and messy from sauces and oils.
The gloves that Koreans wear while eating are often disposable gloves and either fit over both of their hands or are short, two finger protector type gloves that are called finger naps, for cleanliness and convenience.
The gloves that Koreans wear while eating, keep the Koreans hands clean from sticky, oily or saucy foods.
And the gloves also offer some minor protection from hot foods or hot surfaces, like a hot slab of meat, allowing for easier handling of the hot foods.
And the gloves that Koreans wear while eating also preserves grip and helps the Koreans maintain a better grip on their food item, especially when eating very oily foods.
Disposable plastic gloves are provided to people in many Korean restaurants for eating foods like fried chicken, pork ribs or any other oily or greasy or hot foods.
Two finger gloves also called "finger naps" are also used and available in many Korean restaurants and are smaller, special gloves which cover the thumb and index finger and are often used for eating foods such as burgers and pizza.
Koreans also consider it uncouth to lick your fingers or even blow your nose, especially when eating and if you use a toothpick you should also cover your mouth while using a toothpick in Korea.