Since you just started your career, I think that it would be good to concentrate on your own financial situation first. Beef up the emergency fund ... 5K wouldn't cover you for very long. You may want to save up in target accounts for other specific goals ... future vehicle purchase (in cash, not financed) or vacation (for just you, for you+family, or both) or your own house fund. With such a high salary (i.e. high tax bracket), you may actually get a decent return in tax savings + free employer match money by contributing just enough to max the employer match in your 401k which might make it worthwhile to do so despite the high interest rate on your student loans ... I'd be curious to know how your employer structures their match and whether there are any decent fund choices (e.g. with low expense ratios).
Not to mention that you may want to change fields... or go back to school for another degree... or start your own business in your current field.
Not that I'm saying you plan to do all these things, but you'd certainly have less flexibility to do them without hurting yourself financially.
I have some experiences with the latter..