Are you talking about Sunspots? No, sunspots are not new planets.

Sun spots are areas on the sun's surface that have a lower temperature (about 1500 Kelvins lower) than the rest of the Sun's surface. Think of it as a solar acne. The sunspot's magnetic field is much, much greater than the rest of the Sun's normal surface and produces solar flares. Because of the lower temperature and magnetic field they do not emit as many photons as the neighboring regions of the Sun, however, they are still quite hot and bright! They are just relatively dimmer than the rest of the Sun, so they appear as darker spots.

Sunspots can be easily seen with a small telescope and a special solar filter. The filter is essential and must be the right type or you will go blind! Never look at the Sun with binoculars or any telescope without a solar filter specifically designed for your telescope. Unfortunately, we are at a solar minimus, so sunspots are least likely right now.

Sunspots have nothing to do with planet formation (that is a completely different process) and there is a regular cycle to their appearance on the Sun. The Sun spot cycle is 11 years and when it peaks we get higher ionization of the Earth's upper atmosphere. The higher ionization causes more frequent Northern Lights (auroras) and impacts the operation of some radio communications.

Planet formations occurs early in the life of a solar system. What we believe is that when a star is born there is also a lot of dust and debris orbiting the new star as a disk. Over time gravity causes the dust to clump together and form planetismals, which eventually become planets. Our solar system is middle aged and the process of planet formation is long since stopped.

I am not sure of your age or education level, but if there are words or terms I have used that you do not understand I encourage you to look them up so you have a better understanding on: http://www.wikipedia.org/