I think you're confusing two concepts as well as two signals. I can't see it too clearly but the signal corresponding to the protons in question is the set of signals at 1.75 ppm. These protons are deshielded more so than the protons at the bottom of the ring due to proximity to the carbonyl. Second, equivalence has nothing to do with splitting pattern. To deduce splitting pattern, just look at one set of equivalent protons in question. Here, let's look at carbon 2. There are two protons attached to that carbon. It's going to couple with the proton at the tip of the ring and the two protons at the bottom of the ring, each with some coupling constant. So you're going to get either a triplet of doublets or doublet of triplets, depending which pair has the higher coupling constant. Here, you get a doublet of triplets, which is correct.
The number of equivalent carbons only gives you the integration. Here, carbons 2 and 5 are equivalent and each have two protons attached to them, so you would expect an integration of 4.