Translation:a door and a jacket
Yes it doesn't say 'a' anywhere and the quicker people know that the better. It's implied.
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.