We report on critical currents and voltage noise measurements in Niobium strips in the superconducting state, in the presence of a bulk vortex lattice (B < BC2) and in the surface superconducting state (Bc2 < B < BC3). For homogeneous surfaces, the correlation length of the current fluctuations can be associated with the electromagnetic skin depth of vortex superficial instabilities. The modification of the surface state by means of low energy irradiation induces a strong modification of the critical current and of the noise. The appearance of a corner frequency in the spectral domain can be linked with the low wave-vectors of the artificial corrugation. Since this latter occurs only for B < BC2, we propose that the long-range interactions allow the correlation length to extend up to values imposed by the surface topography.PACS numbers: 71.27.+a,72.70.+m,72.20.My Noise measurements are powerful tools to go inside the origin of the vortex pinning, and of the dynamical interactions between the vortex lattice and the sample disorder. This noise, generated during the lattice flow, is called the flux-flow noise [1]. It is generally characterized by the shape of its spectral density, and by its power. As it is often proposed in noise analysis, it is convenient to define a correlation length, within which the fluctuations are correlated. This defines the fluctuator of the system. To the extent that the fluctuators are independent and that the system is large enough, the correlation length can be calculated from the noise power via an usual statistical averaging (the central limit theorem) [2]. Recently, it was shown that no difference can be observed between the flux-flow noise in the mixed state and in the surface superconducting state of a Niobium slab [3]. In other words, the same fluctuator is present with or without a bulk vortex lattice, showing clearly its superficial origin. The coupling to the bulk was shown to be due to the conservation of the total current. This confirms previous auto and cross correlation experiments of both flux and voltage noises [4], and explains the insensivity of the low frequency noise to bulk perturbations [5], in Pb-In alloys. In these experiments, two parameters, the normalized spectrum of the fluctuator and its correlation length, are experimentally justified but are not explained [3,4]. If the fluctuator is of superficial origin, it should be possible to induce notable changes in the noise characteristics after some surface treatments. A following change in the noise spectral density, the noise power, or eventually in the underlying statistics, would give some clues to understand the spectrum and the fluctuator origins. Wherever it takes place, it has been made clear for years that the existence of flux-flow noise is intimately linked to the nature of the relevant disorder, i.e. to the vortex pinning. In the conclusion of his review article, Clem states that such a flux-flow noise theory " should be intimately related to an appropriate theory of critical current density " [1]...