Maybe a few more words on casting to get you doing it without having to spend money on professional lessons.
By the way, if your rod has a plastic sheet on the cork handle get rid of it.
Stand with what is known as an open stance with your left foot slightly in front of your right. This will enable you to watch your backcast. I am assuming you are right handed by the way.
Grip the handle in such a way that all four fingers are around the handle. Put your thumb at the top of the handle or slightly to the side, whatever is more comfortable. Get out on a smooth bit of grass and take about 10 yards of fly line and the leader and lay it out in front of you. Hold the rod in your hand and take hold of the line in your left. Keep the line held in your left hand DOWN BY YOUR SIDE.
Point the rod down the line and hold it parallel or pointed slightly down towards the ground.
Now lift the rod and SLOWLY accelerate the line into the air ending with a back flick which will send the line into the air. Your hand should end up close to your earhole.
Watch the line and when it straightens out in the air behind you, flick the line forward. If you do it right you will feel the weight of the line actually pull at the rod tip. As the line shoots forward, follow through smoothly.
Remember, all the power you put into casting the line is done by two short power flicks, one backwards and one forwards, beween about 11 o'clock and 1 o' clock.
False casting is done by extending line into the air between the power flicks. Shooting line comes easy once your timing is right. You will actually feel the line wanting to travel further.
REMEMBER THIS.
The most important part of casting a fly is the back cast. You cannot execute a good forward cast without a good back cast. Casting forward is dead easy. Casting backwards exercises certain muscles in your arm that you don't use all that often, so have a rest when you feel your arm aching. In time you will develop those back casting muscles.
Finally safety, and here I am being VERY serious.
If you wear a baseball cap - burn it! Get a wide brimmed hat that will not only protect you from wayward flies but also the sun. Also wear a long sleeved shirt, even on a hot day. I have on several occasions had to dig out flies that have been embedded in peoples necks and forearms. Many were wearing shortsleeve shirts and baseball caps.
And ALWAYS wear spectacles.
Good luck