It sort of is here... "a door and jacket" would imply that doors and jackets are commonly found together and considered as a unit. Examples: You'd say "I have a coat and tie." but "I have a dog and a cat."

The letter وَ means "And" but it's mostly glued with next word. So it's وجاكيت not و جاكيت

I don't want to get into details alot here , but the letter Waw ( و ) is one of a group of letters called ( حروف العطف ) and those letters are glued with the next word.