Check objects in an array for the presence of a key?

Question

JavaScript

It is necessary that by clicking on add, there was a check by name, if there is such a number. ++
if not, the object was added to the array. etc.
Partially done. But it works crookedly. What's wrong, I don't understand.
https://jsfiddle.net/xpycm789/1uneboyz/4/

Answer 1

https://jsfiddle.net/xvtgwkm5/