Hi, more information is required to determine the cause of the shaking. Dogs can shake for many reasons eg: health issues, anxiety, excitement or just being cold. I would recommend a Health check be performed by your vet.
As for the choking, does your dog eat very fast? Does it choke after every meal or drink? Does it cough? Or have exercise intollerance? Again, there are many possible reasons for this and it sounds like a physical exam is warranted to find out the cause. Hope this helps.