Exosphere
Yes that is true.
If they are in the atmosphere (low earth orbit), satellites are in the ionosphere. If they are in higher orbits, satellites are considered to be outside the atmosphere.
exosphere
exosphere
Thermosphere and the exosphere
This is a large band of the atmosphere above the Mesosphere and below the Exosphere. Temperatures can be quite high here, up to 1500'C. Satellites, including the International Space Station, orbit the earth in this region. Although there is not much gas this high, there is still a small amount that can cause some drag on these low orbit satellites, so they need a boost every now and then to keep in orbit. Aurora's (northern or southern lights) also occur here.
Nothing. It has been recorded that gases are kept in a layer before trailing off into space, and this area was dubbed the exosphere. Some satellites orbit here.
Satellites orbit in the thermosphere or exosphere where there is no wind and drag is negligible.
The exosphere's job is to hold satellites
No. If they did, air resistance would quickly slow them down and they would fall out of orbit. In order to be in a stable orbit, the satellites must be out of the atmosphere completely.
The exosphere, which is the upper part of the thermosphere has the thinnest air. It is the area where satellites orbit the Earth.