To answer your original question, yes you can lower the floor. You'd need a new dpc, most probably an injected/cream type. You could reuse the existing joists (and floorboards if they come up without damage) supported off joist hangers and/or ledgers fixed to the walls or you could replace it all with a new insulated slab. Obviously you'd need to lower all the door openings, do some work with the drainage etc but you would benefit from nice high ceilings. You may need building regulations approval.