No...IF. IF you are staying
at a DVC resort on a points reservation, you don't have to buy park tickets. It doesn't matter whether you are a DVC owner or renter, but a renter will have to have the member they rented from make the DDP arrangements for them.
There's a separate
Disney Dining Plan board over in the Restaurants section of the DIS.
[ETA: The "Free" dining plan was only offered during a very short period the last two years -- this year from August 13 until September 30. So, it's not generally available.
Also, I did see several DVC owners post that they'd chosen to rent rooms and take advantage of the "free dining."]