Yes , I would get anything related to this accident/fall checked out as soon as possible.

If you delay now and end up having to prove new injuries later on WC will deny and drag it out saying it could have happened anytime since the fall..
They might say " well you didn't follow up right away so no telling where this pain/symptoms came from".. That is how the system often goes..


It may be soft tissue related , but a imaging check makes sense..
Then ask for some PT, even if soft tissue PT can do massage, ultrasound,etc, that will help with the soreness..