if there is a standing trust & will does a handwritten will written after the date of the trust supercede the original trust and will?

If the assets are in the Trust, then the new Will will have no affect on the Trust distribution of assets.  However, if the assets are not in the Trust then the second Will will supersede the first one. These questions can be complicated.  It's always best to discuss all aspects of this matter with an experienced estate planning attorney.