Do you think i should shut aerator off till water warms up?
Yes. Move it to deepwater get ready to turn it on shortly. Take pond water temps, using a swimming pool thermometer. If you wait long enough for a thermocline to form, then you have to use the start up procedure for the aeration system.
In my pond I will turn it on for the summer (the deepest one) when the water temp is in the low 60's and leave it run 24/7.