Apple Pencil 2

No, Apple Pencil 2 is compatible with iPad Pro 12.9-inch (3rd generation) and later: https://support.apple.com/en-us/HT211029

Your iPad Pro (12.9-inch) model is first generation: https://support.apple.com/en-us/HT201471

Apple Pencil (2nd generation)

You can use Apple Pencil (2nd generation) with these iPad models: 

• iPad Pro 12.9-inch (3rd generation) and later
• iPad Pro 11-inch (1st generation) and later

Apple Pencil (1st generation)

You can use Apple Pencil (1st generation) with these iPad models:

• iPad Pro 12.9-inch (1st or 2nd generation)
• iPad Pro 10.5-inch
• iPad Pro 9.7-inch
• iPad Air (3rd generation)
• iPad (7th generation)
• iPad (6th generation)
• iPad mini (5th generation)

Not sure which iPad you have? Identify your iPad model.

No, Apple Pencil 2 only works with 3rd gen iPad Pro and 4th gen iPad Pro.

No.

You have a 1st generation 2015/2016 iPad Pro model.

You need to be using the original, 1st generation Apple Pencil with the chromed/metalised top cap.

The 2nd gen Apple Pencil ONLY works with the newer designed 2018/2020 iPad Pro models.