ALICE experiment at LHC studies the Quark Gluon Plasma (QGP), a particular state of matter where quarks and gluons are deconfined. A probe to explore this state is the study of several resonances (ρ, ω, ф, J/ψ and Ƴ) through their dimuon decay channel, with a muon spectrometer covering pseudo-rapidity -4 < η < -2.5. In the first part of this thesis, the focus is on light vector mesons (ρ, ω and ф) and their analysis in the 2010 data, in pp collisions at √s = 7 TeV and Pb-Pb collisions at √sNN = 2.76 TeV. Light vector mesons are powerful tools to probe the QGP due to their short lifetime and their dimuon decay channel. Indeed, leptons have negligible final state interactions. Production rates and spectral functions of those mesons are modified by the hot hadronic and QGP medium. In pp collisions, pT distributions, production cross sections and pT-differential cross sections of the different mesons have been extracted. The Pb-Pb analysis and its prospects are also presented. The second part of the thesis concerns ALICE upgrades plans of year 2017. A feasibility study for a Muon Forward Tracker (MFT) in Silicon pixels located upstream of the hadronic absorber, in the spectrometer acceptance, was performed. Performances and improvements brought by the MFT on several physics cases were in simulations