Since you're on cash and not points, with daily housekeeping, you should get a coffee packet every day, along with a single use laundry soap. You'll also get a small bottle of liquid dish washing soap and some dishwasher soap, these should be in a cupboard near the kitchen sink.
Olivia's is very good, it is a relaxed homestyle restaurant. The servers are very attentive, and the meals excellent, but they take a little time to prepare. Allow some time to relax and enjoy some conversation.
There are grills near the quiet pools, but they are charcoal, not gas. Charcoal is available for purchase at the general store, but it'd be cheaper off-site. They are the standard type charcoal grills found in most public parks. I don;t know if there are grills near the main themed pool or not, I never looked.
One "secret" about OKW, there is a small sauna located inside the lighthouse.
If you bring your own coffee, yes, it is a standard Mr. Coffee type 10 to 12 cup maker, using the basket type filters. You would need to get the filters at the grocery store, they are not provided.
I generally use the kitchen for breakfast items, like hot cereal, bacon, and so forth. But I have prepared a full evening meal as well.
Many years ago we were able to order a Mickey or Minnie cake through Olivia's, it included paper plates, noisemakers, balloons etc. It served about 8 people for $40. If they still offer it, I'm sure the price has increased. I don't know if any of the regular bakeries deliver to OKW. Another thought, since you'll be grocery shopping...Publix has very nice cakes and bakery items, it would be much less expensive to pick one up while you're shopping.