It is no a sign of overloaded circuits. It could be a sign of a loose neutral connection. Do you notice light going brighter and dimmer at times?

Thanks for your reply. I was beginning tothink I got shut out. I notice the lights getting dimmer when something turns on, but I thought that was normal. When it does do dimmer it is not a huge difference.

I have a device that shows if an outlet is wired correctly. If I bought one of those screw in outlets for a light socket and tested it would that show if it were a loose connection or just if it weren't connected?

If not is there a way to check for a loose neutral or do I have to get up there and turn screws to find out?

Lights dimming when large device like AC starts is not abnormal. The true sign of a neutral problem is light going brighter. The loose neutral problem I am thinking could case your problem is not a DIY repair. It is the main neutral connection coming into your house.