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The brown spots are commonly caused by over watering. With the cooler temps, they just do not need as much water. In the circumstances, I would actually recommend waiting till you see some wilting before watering. Then soak the pot in the sink to rehydrate the rootball. Once the brown spots clear up, you can resume watering just when the soil feels dry.

The white spots are likely a fungus, but could be a pest. The fungus can be treated with a fungicide and pests can be treated with a pesticide. I personally like neem oil as it is both a fungicide and a pesticide, so it treats for both at the same time.

Always allow plants to dry out some between waterings. You can usually check them by sticking your finger in the soil (about an inch). If it's dry, water. If it's still somewhat moist or wet, leave it alone. Here is an article or two that you may find helpful: https://www.gardeningknowhow.com/plant-problems/environmental/signs-of-plants-affected-by-too-much-water.htm
https://www.gardeningknowhow.com/houseplants/hpgen/how-to-water-a-plant.htm

This indicates a watering issue. Either the plant is not getting enough water or there is something affecting the roots that is preventing them from taking up water.

It soundslike you may have mealybugs. This article will help: https://www.gardeningknowhow.com/plant-problems/pests/mealybugs-white-residue-on-plants-leaves.htm

This sounds like a watering issue. It can be that you are either under watering or over watering. Water the plant only when the soil is dry to the touch on the top of the soil.