LOL! you can do whatever you want to do.... there isn't rules.
In my opinion just leave the ceiling white. If you paint it the same color as the walls it makes that space seem smaller or enclosed like a box.
There is no actual real significant difference, besides the color. A black ceiling fan works the exact same as a white ceiling fan. Of course, the brand of the fan might make a difference, though the color of the fan will not.
The same shade of white.
Moldings
It's entirely at the owners preference.
Traditional decorating thought says you should not paint a ceiling anything but white. Don't listen... but do be aware of what effect you will get. 1) If your walls are a light natural green and you paint the ceiling the same colour it will cause you to perceive the green as a bit darker. The light reflecting from the walls and ceiling will have that effect. Having the ceiling the same colour as the walls can on occasion cause the feeling of being "in a box" as the ceiling will seem a bit closer than if it were white. 2) A white ceiling will cause the room to seem a bit brighter and the ceiling itself will seem a bit higher. 3) A good compromise, if you want colour on your ceiling, is to use a lighter colour of the same green as your walls. I often add white paint to the wall paint to achieve this effect. As for baseboards, window and door casings and other trim, there are three schools of thought here. 1) Paint all trim throughout the entire building one consistent colour. Often white or cream and sometimes natural wood, this gives you continuity throughout and eliminates the need to decide where to change colours as you go through a doorway. 2) Paint the trim the exact colour of the walls, frequently this is a "fast and dirty" fix in apartments etc where the cost of anther paint and the time required to be careful in applying it are factors in the choice. If you choose to use the same colour, please have a semi-gloss paint mixed to match as using "wall" paint on baseboards etc. leaves the areas more susceptible to scratching, chipping and damage. (Wall paint is not usually as hard as trim paint) 3) Paint the trim in another colour. Either a darker version of the wall colour, or a colour you find esthetically pleasing in combination with what you have in the room. In all three cases I can not stress enough the importance of getting the paint mixed in a "trim" paint.
Yes. Recessed lights consist of two parts, the trim and the housing. The housing is the light fixture that is installed in the ceiling, and the trim is the light itself.
The ceiling adapter is white but simulates wood. Can be painted over to any color desired.
they don't have to be if you don't want them to. mine are purple/tan and white
It depends on the model. The Eddie Bauer is a sort of gold color or a silver color. The Limited is generally the same color as the main body of the car, but not always. The XLT can be anywhere from the same color as the body, to a greyish brown plastic if equipped.
wall color
If it is a light color I would think it would look OK, but it will make your room look smaller. How about one wall in a dark color and a contrasting color on the walls. Make a stencil and put clouds on the ceiling. I did this in my kitchen.