Is this normal and should I be concerned about square on my ceiling?
Somebody else worried about the leaks and this is the results of someone  fixing them in all probability. With limited access to the attic, you would have to cut an access area out to get to the problem and fix it. It looks like they used thicker drywall to repair the ceiling than what was there before. It's a shame they didn't do it right because the texture was done after the repair and it could have been unnoticeable. The cold feeling is probably due to the insulation not being replaced before adding the drywall.