Any owner of land within a proposed subdistrict may file with the chairman objections in writing to the establishment of a subdistrict on or before the day set for hearing the engineer's report on the same. If such subdistrict is established by order of the county commission, said owner of land may within 10 days after the establishment of the subdistrict appeal from the order of the county commission to the circuit court, upon giving bond in a sum to be fixed by the county commission conditioned for the payment of costs if the appeal should be decided against the appellant. Any owner of land within a subdistrict may likewise file objections in writing to any assessment or assessments before the same shall have been approved by the county commission. If the county commission approves said assessment or assessments, said owner of land may appeal from the order of the county commission to the circuit court within the time and manner provided in this section for appeal from the order establishing the subdistrict. Such appeal in either case shall be taken and prosecution had as now provided by law. Such appeal shall be based and heard only upon the objections in writing filed by the complaining party, either as to issue of law or fact, as provided in this section and determined in a summary manner by the county commission, and no additional objections shall be considered by the court upon hearing of the appeal; provided, that nothing in this section shall be construed to authorize any appellant to stay the proceedings of a subdistrict or to prevent progress in the work of the subdistrict.