All the electrons of this element are spin-paired.

Carbon
Nitrogen
Oxygen
Flourine
Neon

What Family is Neon in?

? I'm not sure what you mean by that... It's a noble gas if that's what you're asking.

Agreed.

So what can you say about its outer shell?

To determine whether the electrons of an element are spin-paired, we need to look at their electron configurations.

Carbon (C) has the electron configuration: 1s² 2s² 2p². The last two electrons occupy the 2p sublevel, and since there are two unpaired electrons (one in each of the three 2p orbitals), the electrons of carbon are not spin-paired.

Nitrogen (N) has the electron configuration: 1s² 2s² 2p³. The last three electrons occupy the 2p sublevel, and since there is one unpaired electron, the electrons of nitrogen are not spin-paired.

Oxygen (O) has the electron configuration: 1s² 2s² 2p⁴. The last four electrons occupy the 2p sublevel, and since there are two unpaired electrons, the electrons of oxygen are not spin-paired.

Fluorine (F) has the electron configuration: 1s² 2s² 2p⁵. The last five electrons occupy the 2p sublevel, and since there is one unpaired electron, the electrons of fluorine are not spin-paired.

Neon (Ne) has the electron configuration: 1s² 2s² 2p⁶. The last six electrons occupy the 2p sublevel, and since all of the 2p orbitals are filled, the electrons of neon are spin-paired.

Therefore, none of the listed elements have all of their electrons spin-paired.