What is black plastic part under glove box

That could be a significant concern. Your evaporator case is where the air conditioning evaporator core as well as heater core is located. Moisture from the evaporator core should funnel out a drain tube. But if you've fractured the case itself, then water can just leak out. This would be a significant repair - removing the instrument panel to replace the evaporator plenum, which would also include discharging and recharging the air conditioning system as well as the cooling system. Seek professional guidance near you: www.repairpal.com/repair-shops