Can a child under 12 weighing 128lbs take the recommended adult dose of tylenol (acetaminophen) cold multi symptom nighttime?

Yes. Dosing by weight gives you a range of 15 to 30ml per dose (2 tablespoons = 6 teaspoons).
Yes, but. Make sure you know all the ingredients that are present in the "multisymptom". I'm not a big fan of these medications as they often contain medications you don't need for your particular symptoms. Know what each and every active ingredient does and what symptom it is for, and if you don't need everything in it, take individual medications that just address those symptoms.