Rapier: 2 + AGI/3
Cutlass: 2 + STR/5
Club: 2 + STR/5 +AGI/5
Broadsword: STR/4 +AGI/4
Basically club always wins, so go for it. Rapier is better if your AGI have 3 more points than STR (which is rare and counter productive). Cutlass is useless. Broadsword is absolute worst in the beginning AND do not outscale anything but Cutlass (needs +1 base).
More importantly, spending 10 crystals on your weapon for +2 weapon is crucial (go pester some golems for +3 its basically double damage).
Being a mage requires you to spend like 10 crystals on your weapon if you do not intend to just burn everything.