OK..a quick crash course coming up. Since I know what camera you have this will be easier.
Aperture: Is the name for the opening in your lens to let light in. The darker the scene, the more light you need and the smaller the number is. Ex. 2.8 is often the biggest opening you have and 16 the smallest.
Speed: is the speed the aperture remains open. A higher speed is used when lighting is good and also has the effect of freezing the action better than a slower speed.Typically one would use 250 or higher to "freeze" action and this can go up to 1/1000ths to "freeze" lets say the batting of a hummingbirds wings. Follow me so far?
Depth of field: is a term used to describe how much of the picture is in focus. the larger the aperture, the less depth of field you have. If you take a picture of something with your aperture at 2.8, usually everything behind the main subject is not in focus and if taken at 16, your focus might extend well into the background.
You could take a picture with the speed set at 500 if it,s vital to freeze the action and set the aperture accordingly. This is called shutter priority. If it's more important that you have a longer depth of fied, you would set your aperture first, then set your speed accordingly to match the aperture. This is called aperure priority. Most higher -end cameras on "auto" give you a choice over shutter or aperture priority which I know your camera does. It always depends on what it is your after in your pic. If you were shooting a moto x bike coming off a jump, it would require you to "freeze" the action in the air and background focus is not required. You would use a higher shutter speed. If you wanted to take a pic of the Grand Canyon,since it's not going anywhere (for a while anyway) you want as much in focus as possible so you would use a smaller aperture opening and adjust the speed accordingly.
In colour photography,you usually just use a polorizer filter that works the same as a pair of polorized sunglasses. It basically cuts down glare and darkens up a blue sky to a richer, more saturated colour.It cuts the haze. You could also use a Star filter to give you little stars where there are points of light being refected like off a chrom car bumper. In B+W photography, filters are used more to highten contrast. I hope this is enough to get you started. If your missing some other info, let me know specifically what and I'll try to help if I can. I was very heavily into photography yeas ago and it's a wonderful hobby.