Hi Faisal,
Please see my comments on your sketch below. I would suggest to add more shear reinforcement (at least 2 layers, one looks flimsy) between existing foundation and the jacket. Obviously, it would be based on your calculations to transfer punching shear, one way shear and moment. Also, I would suggest to add shear connectors/ dowels/ nelson studs to all vertical faces of the foundation and provide continuous reinforcement as shown connecting periphery jacket beams and new pour. Also, if you are excavating around existing foundations, please give some thought to that so that the excavation doesn't undermine adjacent foundation.
Hope that helps.
Cheers!