When presenting Jessica Warren with an x-ray, Bones says that this is the only convenient way to add technetium to Jessica's collection, as technetium is an element of extremely short half-life. While this is true for some of the isotopes (as is the case of most radioactive elements), the Te-97 and Te-98 have a half-life of approximately 200.000 years, i.e. 10 times longer than that of the most stable radium isotope and 100 times longer than most stable isotope of polonium.
The embroidered patch from the victim's worksheet is reassembled from pattern of stitch holes. Such a practice is exclusively for luxury brand shirts, polo shirts for a hardware store would simply have an adhesive patch with a logo machine stitched on its surface. Her boss is wearing exactly that kind of embellishment on his work shirt.