Hi lightsped! I'm not sure of the answer to your vaccination questions, but in regards to the deworming - it worked very quickly on my puppy, Connor, as well! He had really bad roundworms when I got him, but about 6 hours after I took him to the vet, they were on their way out. So I don't think you have anything to worry about there
For him, the deworming medication worked it's magic and he was back to normal within two days. I didn't need to do anything else, except give him lots of kisses and hugs to help him get through it! Hahaha.