If a form is edited on the backend and then synced with the server, will the edited form be reflected on the frontend

For this, you can leave the Case Management tab as "does not use cases." This controls the cases of the case type you've selected in your module.

The User Case will automatically be loaded into your form when you choose a form that has User Case setup.

If you're filtering cases, you want an expression that ultimately returns a set of cases. The first part of the expression, instance('casedb')/casedb/case, gives you all cases on the phone.

The expressions in square brackets then filter the cases by case type, parent (you're limiting to cases that are children of the "current" case, which is the one you selected from the case list), and open/closed.

[@case_type='Indicators']
[index/parent=current()/@case_id]
[@status='open']

The /[contractions_dur = 'low'] is what's throwing the error. The / says to go another level deep, but I suspect what you want is to just add the contractions_dur as a fourth constraint, on the same level as the others. So try dropping the slash: instance('casedb')/casedb/case[@case_type='Indicators'][index/parent=current()/@case_id][@status='open'][contractions_dur = 'low']