Ipad Model A1416 won't charge or turn on

An iPad battery replacement, from Apple, will cost you $99, plus tax.

You might want to consider purchasing a new 2018, 6th gen iPad, that can run the latest iOS 12.

A $100 plus battery replacement gets you a third of the way to a 32 GBs internal storage, WiFi ONLY 9.7. Inch screen iPad.

Also, might be able to get a much newer refurbished iPad from Apple, for a much cheaper price, too!

Tap and see this link from Apple's refurbished iPad section.

Refurbished iPad Wi-Fi 32GB - Gold (6th Generation) - Apple

Maybe other color models with this price point, too!

What happens if you try a hard reset of your iPad by holding down both the Home and sleep/wake buttons simultaneously until your iPad goes to black and restarts with Apple logo, then release the buttons?

It might. See if this helps: https://support.apple.com/en-gb/HT201412

if not, get an appointment at an Apple Store for an evaluation.