It's the protons around 8ppm which concern me. The rest of the structure looks more or less plausible. The large signal around 7ppm is the 5 protons in the benzyl C-protection... but there's no reason there should be two signals around 8ppm.
The other part that concerns me is the 4-5 region. These should be the alpha protons between the C=O and the N for each amino acid. There are 4 amino acids in this chain, so there should be 4 protons here. Scaling up the integration values between 4-5ppm gives, from left to right, 2H, 1H, 1H, 2H, 1H. The 2H signal on the left is the two protons between the N-terminus and the benzene ring. That leaves 5 protons to account for. But there are only 4 amino acids. IMHO, there is one too many protons in this region.
The aliphatic region (1-3) is too messy to analyze, but a nice COSY spectrum would help.
IMHO, not the right structure... or at least not a clean sample.