It's both. Cariñena, the grape, is native to Aragon and gets its name from the town and region. In English (and French, I believe) it's called Carignan. Many of you have probably tried Cariñena without knowing it because it is often used for blending in riojas; but there it goes by the name Mazuela or Mazuelo.
Old-vine Cariñena also plays a big role in the powerful and intense wines from Priorat in Cataluña.
The wine region of D.O. Cariñena,ironically less than 10% of the vineyards have this grape. Most use Garnacha and Tempranillo. Foreign grapes are becoming popular too. But it is making a comback.
Cariñena, the wine, traditionally was very a strong, rustic wine and not considered to be especially sophisticated. Wineries are now making some excellent wine for very low prices. Most wines cost less than 10 euros, and many go for less than 5. I've even tried a decent crianza for 1 euro.
So, if you liked the wine, it's probably because it was good. Trust your instincts!
I don't know what the Abrazo costs off hand, but I'll see if I can find the price. Do you know the winery?