Victorian concrete window sills

[rhodes73]

Hi,
I'm just trying to tidy up the front of the house including the window sills but i'm not sure of the best approach.
I would like in an ideal world try to get the edges flush and then fill and cracks, etc

I've seen some filler for the cracks but was wondering what the best approach would be for the edges (i've got a suspicion that the water is running back from the edge causing damp on the inside wall)
Could i somehow recast the edges somehow ? seems like it would hold and once any water got it they would blow?
Just looking for some general guidance here......

Filler
https://www.screwfix.com/p/toupret-touprelith-f-exterior-masonry-repair-filler-1-5kg/7626h

 

[bobasd]

I cant open up your pics to see whats going on?

 

[Alastairreid]

You can shutter and pour new cills not forgetting to incorporate a drip.