To be honest, you don't have anything to worry about.
Following the tragedy on Southwest flight 1380, the media has reported on several incidents that happened on Southwest flights while overlooking similar incidents that have happened on other carriers. This is a common, but unfortunate, occurrence whenever a company suffers a tragedy or operational meltdown.
Keep in mind that Southwest has several thousand flights a day on over 700 aircraft and you can see that the chances of an incident occurring are very small. Also, Southwest has been flying for almost 47 years and has an enviable safety record.
As somebody who has flown many hundreds of flights on many different airlines without a single incident, I can assure you that you and your family are safe on Southwest.
