I'd certainly check the oil level. I'm not sure if the 2012 model is missing the dipstick measure or not.
In older models, the dip stick is actually a cap with a bolt securing it, you remove the bolt and draw the dip stick out, measure etc and replace.
In newer models, you have to heat the gearbox to 40C, then remove the fill plug under the gearbox and see how much oil trickles out. It should drip slowly. If not, add a small amount of oil at a time until it starts dripping then reinstall the plug.
As for automatic gearbox operation, slow gear selection could be a problem in the valve body, it could be a pressure problem with the pump in the turbine area, it could be a lack of oil or it could be contamination of the oil. Note that the automatic transmission oil cooler resides INSIDE the radiator and one of the first and best modifications you could make to your car is to add an oil cooler to the front of the air con condenser and connect this to the transmission oil lines. Don't forget to put a hose on the old radiator connections (just join the two together) to prevent coolant loss if the old transmission cooler is breached by the coolant.