26 pages, 10 captioned figures, 1 table, authors from page 21, submitted to EPJC, figures at http://aliceinfo.cern.ch/ArtSubmission/node/3364 ; see paper for full list of authors ; We present results on transverse momentum ($p_{\rm T}$) and rapidity ($y$) differential production cross sections, mean transverse momentum and mean transverse momentum square of inclusive J/$ψ$ and $ψ(2S)$ at forward rapidity ($2.515$ GeV/$c$ the non-prompt contribution reaches up to 50% of the total charmonium yield.