Well even a good LED track light with at least 4 heads would be a huge improvement over the single light with fan.

A pair of pendants over the counter combined with a track light to replace the fan would be my recommendation.

If keeping the fan, remove the light attachment & hang two pendants over the bar & one over the sink. Add under cabinet LED lights & until you can have recessed lights installed, add a flush ceiling light at each end of the ceiling.

That is probably going to require an electrician to do so go ahead with the recessed lights & use LED bulbs.

Thank you.. great ideas