My Apple Pencil is no longer working

Your Apple Pencil is exhibiting symptoms of a failing/failed battery - that will not reliably accept or hold any charge.

It is generally recommended that a second generation Apple Pencil should be kept docked with the iPad when not in use - as this ensures that the tiny internal battery is kept optimally charged when not in use. Charging only occurs when the battery requires charge from the iPad, optimal charge being entirely automatic.

Keeping the Pencil separated from the iPad when unused risks allowing its battery to discharge; if allowed to remain in this state, the battery will suffer irreparable damage. When the battery fails, the only remedy is to replace the entire Pencil; the battery is not a serviceable item.

An otherwise healthy Apple Pencil will suffer no negative consequences from being docked with its host iPad for extended periods.

These support pages may be helpful with pairing and use of the Pencil with your iPad:

Connect Apple Pencil with your iPad - Apple Support

Charge your Apple Pencil and check the battery - Apple Support

If you continue to experience difficulties, here is one of the better troubleshooting guides:

https://appletoolbox.com/apple-pencil-not-working-heres-our-troubleshooting-guide/

If the Pencil Battery has failed, the only remedy is to replace the Pencil. If the battery has failed and your pencil is within its one-year warranty, you should look to having it replaced by your retailer or at an Apple Store.

Gentle warming of the Pencil (such as placing on a hot water radiator), prior to attempting charging of the Pencil, can sometimes resurrect a dead Pencil battery.