I too think it's a good start. You're thinking about lighting styles and achieving a certain look or ambiance in your image, which is important. As already mentioned it is a bit underexposed. Personally, I wouldn't worry too much about light spilling onto the background, if all you are going to do is have it black. You can simply darken this in Photoshop or another editing suite later. Always give priority to your subject matter, whilst of course still giving consideration to your background if limited for space. Obviously if you can move and make use of the inverse square law as tirediren touched upon, all the better. The further you move your subject and the light from the backdrop, the less light is going to hit it, without affecting spread on your model. Even small adjustments can make a huge difference. Simply moving a light from 1m to 2m away from something will result in a 75% decrease in exposure.
For example, lets say your son was 1m away from the backdrop and the flash 1m from him (2m from the backdrop). If you move your son 2m further forward and the flash likewise, the flash is now 4m from the backdrop. This will result in only 1/16th the amount of light hitting the wall behind as before, whilst keeping your son exposed the same. Light positioning is very often overlooked as a solution to lighting problems, as most people will simply try adjusting power on the flash itself.
If you want to get into flash photography, one of the first things I would suggest doing is learning how light works, along side the technical side of operating flashes (sync speeds, triggering methods, etc.). The inverse square law is a very powerful principle and once you understand it, it's as effective a tool as any piece of equipment you have in your bag. Hand in hand with that, is understanding light modifiers, both in terms of what they do to the light and the effect they create. I have a number of guides and articles on my site that you may find useful, as they demonstrate first hand the effect created and clearing up the misconceptions that virtually all newcomers have when it comes to softening or hardening light for portraiture.