I would trust your observations and judgment. It is possible that her inattention is the result of her learning, motor, (and probably language) disabilities.
Many students with executive function disorder also have learning disabilities related to this disorder. Such disabilities might include a “reading fluency” or a “writing fluency” problem.
Most school systems will not evaluate a child until the end of third grade. However, if you are concerned, and especially if there is a family history of LD, you should push for an assessment.