Hi Justine,
to NGA
All the vegetable plants you mentioned (except for the chilis) are annuals. That means they will die. I suspect the previous tenant lost interest in caring for the garden when summer production slowed. Do you ever get frost over there? If not, the tomato will hang on a little longer. The chili peppers are tender perennials that, in your area, should do fine through the winter. Just remember to water them if it doesn't rain. Fertilizing this time of year is not necessary.
You can attach photos to this thread so we can help you identify your plants so you will be more prepared to take care of them. If you have a spot that you can start a compost pile, that would be a good place to put all those egg shells and coffee grounds. Don't add sugary foods or meat, just vegetable matter. You can add shredded paper like newspaper, paper towels, etc.