Yes, this is gluten free
Sugar is sugar, and none of these contains gluten. The sugar alcohols cause the alarm, because maltitol, maltodextrin and malt extract share four letters and only the last has anything to do with barley. Maltitol is made by hydrogenating a starch sugar and, like maltodextrin, carries no protein through the process. Barley malt syrup is a real gluten ingredient and is tracked separately.
honey is covered by CiCi's entry on sweeteners, which share this answer and the reasoning behind it.
Every one of these is the same ingredient. The number of names is a large part of why gluten slips past people who read every label.
Point CiCi at the barcode on the product you're holding and get this same reasoning in about two seconds, plus the carbs and the full nutrition panel. 360,000+ packaged foods are already read and waiting.
This answer comes from CiCi's ingredient lexicon — the same rules the scanner uses, not a separate article. Where reputable sources disagree, CiCi takes the conservative position and says so.