I am a 6 letter word - Find my name

I am a 6 letter word.
Letters 6-5-2 spell out a drink.
Letters 4-5-2-3 spell out a fruit.
Letters 1-2-6 spell out a pet.
Letters 3-2-6 spell out a pest, which often gets eaten by 1-2-6.
What am I?

Answer is: Carpet