The 24Mg(d,p0,1,2) reactions were investigated in the present work for Ed,lab=1300–2050keV, at four backward detection angles, namely at 140°, 150°, 160° and 170°, suitable for NRA depth profiling studies. Differential cross-sections were obtained for the first three proton levels (p0, p1, p2), using a variable energy step. The differential cross-section ratio of the natMg(d,d0) reaction with respect to the Rutherford one was also measured at 140° and at 150°, for the same deuteron beam energy range. The results have been compared to data already existing in literature, and similarities, as well as discrepancies are being discussed and analyzed. The possible existence of previously unknown high-excitation levels in the compound nucleus 26Al is also discussed. The obtained results have been validated through benchmarking runs in the same angular range, at two deuteron beam energies, using a thick, high-purity, highly-pressed magnesium oxide pellet as target.