Light which is confined to a small aperture does indeed spread out in accordance with the uncertainty principle. This applies to laser beams as well. If you measure the laser beam at varying distances, you will find that its size continually increases at a hyperbolic rate. In fact, take your laser out to a field at night and look at it on a screen as far away as you can, and the beam will be huge!
If you tried to hit the moon with a laser, you'd want to use a BIG beam- 8 meters (24 feet) in radius. By the time it reached the moon, it would "only" be 16 meters across. That's the smallest spot you could make on the moon. In contrast, if you shone your handheld laser at the moon, it would expand to over 60,000 meters (~40 miles) wide!
An interesting fact to notice, however, is that the uncertainty principle only fixes the minimum amount a beam can spread out. Most beams spread out much faster than Heisenberg requires. A gaussian-shaped laser beam is one of the only types of light beams that actually spreads out by this minimum amount. That is why you don't see it spreading out unless you measure carefully, or just measure its size far away from the laser. (In addition, keep in mind that a typical laser beam is over 1000 times wider than the wavelength of light. This is reasonably large, so the beam doesn't diffract very rapidly. If your laser beam were much smaller, it would diverge faster.)
As for your second question: all laser beams that can possibly be created do contain at least a small range of wavelengths. You can see this if you look at the specs of any commercial laser, for example one.
If you dimmed the laser beam down until it was just a single photon, that photon would behave statistically just like the original laser beam. This isn't completely intuitive, since any measurement on a single photon will collapse its wavefunction and yield exactly one position, momentum, wavelength, etc. As long as a photon exists, however, it is made of a superposition of different wavelengths, positions, momentums, etc. In addition, its wavefunction (and corresponding "width," or region in which it can be found) spreads out hyperbolically, just like the laser beam!
David Schmid
(published on 04/06/2013)
(published on 04/24/2013)