Do I need to include aliases, birth or former name(s) no longer used when applying for TSA PreCheck?

Yes, TSA requires all names used, current and past. You do not need to provide documents that prove you have previously used another name or alias.  The name provided on the TSA PreCheck® application must be the name used when making your airline travel reservations. The name on your application must be an exact match to the name on the identification and proof of citizenship/immigration documents you provide at enrollment.