Warranty for Xbox S

An xbox 360 s comes with a one year warranty starting on the date of purchase. Its possible to purchase extended warranties from either microsoft or the place of purchase. To have purchased one from microsoft, you would have had to have already registered
your console and paid around 50$. This link might provide more insight into the warranty and its policies.

support.xbox.com/.../xbox-360-s-new-warranty

No its not a 3 year warranty for rrod on the S models, its only a 1 year warranty. 3 year warranty was for the old style 360's but as the S model is a completely new design it is only covered by a 1 year warranty

Yes it is one year from the date of purchase as stated by section 1c of the warranty agreement.

support.xbox.com/.../xbox-360-s-new-warranty

"Warranty Period" for Xbox 360 S, means 1 year from the date You purchased it; and for Accessories, means 90 days from the date You purchased it.

Since you purchased it from a separate person on ebay the warranty would count from when they purchased the console from a retailer not from when you purchased it from them.

It is a Xbox One S (bought in 2017), no more warranty.

Yes, the controller would still have that 90 day warranty.
Product Warranty and Software License: Xbox 360 S Console