IPad – Month old iPad mini 4 has a yellow box outline on the screen! How to do

Apple has only had a recycling service for iPods in the past and pushes all gift cards through their official Recycling Program.

My experience is that these sort of plans don't get you top dollar, but don't require you to take any risk or spend any time to sell your old product. You should be able to determine the repair pricing for most Apple products by contacting Apple Care or visiting a retail store to get a quote.

In this case, iPad glass isn't repaired other than at the manufacturing site - so all broken iPads go back for repair / recycle / refurbishment and you get fully tested / warranted (and potentially fully new) one in exchange.

Once you know this you can compare the repair cost with buy new cost with what you can sell it locally. Either way, this research will help you make a good sale in case the buyer has reservations - they too can always go to Apple and get a new battery, fixed screen, etc... for the repair price should they find your device not acceptable once they use it a while.

Well, it looks like you may need a visit to the nearest Apple Store,
but first try downloading SMCFanControl: http://www.macupdate.com/app/mac/23049/smcfancontrol and try turning up the fan speed to cool the overheated graphics card and see if that helps.
Please note that I am not sure whether the fan speed on the MacBook is adjustable, but it's certainly worth a try.