Construction and demolition debris is exactly what the local disposal site is built for. The restrictions come from Mississippi law and from that site's own accepted materials list.
Mississippi keeps vehicle batteries out of landfills. The state's environmental agency says lead acid batteries are banned from landfill disposal and directs you to return them to the retailer instead.
The local site's list goes further. Household garbage, food waste, liquids, sludge, contaminated soil, ashes, paint and paint cans, oil and chemical containers, engines and motors, whole or shredded tires, batteries, medical waste and regulated asbestos are all turned away. So are refrigerators, air conditioners, televisions, computers, monitors, light bulbs and anything that holds water, such as bathtubs and tanks.
Hazardous waste, solvents and fuel have no place in a roll-off container anywhere.
Mattresses, cushioned furniture and similar items can go in, but they carry a charge per piece, so mention them when you book. If an item leaves you guessing, ask your account manager before it goes over the rail.