What could cause high power usage in HVAC system after lightning strike?
Your excessive power draw can definitely be attributed to your hvac equipment having a faulty electrical component. Like others said, you need to shut the breakers off to the equipment and see if the power draw decreases over time to know for sure. Or you could have a technician check the equipment. The issue may not be your hvac system at all, however the fact that is is not cooling properly means it needs to be looked at by a professional.

Im not sure what type of system you have (condenser, Evaporator and air handler or furnace) but you need to have a technician check and test the compressor windings and motor windings of the condenser fan motor. It would also be wise to check to see if the blower motor for the indoor unit is still functioning properly. He should also check if anything is over amping. I would advise not using the unit until it is checked.