Welcome to healthcare Magic!
The crazy pattern of rash
and linear eruption on the skin seems to be some allergic manifestation of some sort. In view of the while hoops in bowel movements suchmanifestations may be related to gut worms. Skin worms are rare in USA, you are right but gut worms are universal.
I would advise to get a complete blood counts and a stool examination for ova and cyst
If you have rash still ongoing then please take a photograph and upload for viewing here.
Please get these investigations and if you like, inform me in a Fresh Query / Follow up Query for further fine tuned opinion
Wish you a great health!