  It has been shown recently [J. L. Lado et al., Phys. Rev. Lett. 113, 027203
(2014)] that edge magnetic moments in graphene-like nanoribbons are strongly
influenced by the intrinsic spin-orbit interaction. Due to this interaction an
anisotropy comes about which makes the in-plane arrangement of magnetic moments
energetically more favorable than that corresponding to the out-of-plane
configuration. In this paper we raise both the edge magnetism problem as well
as differential conductance and shot noise Fano factor issues, in the context
of finite-size flakes within the Coulomb blockade (CB) transport regime. Our
findings elucidate the following problems: (i) modification of the CB diamonds
by the appearance of the in-plane magnetic moments, (ii) modification of the CB
diamonds by intrinsic spin-orbit interaction.
