Destiny HERO Plasma can’t tribute monsters to Special Summon itself.
Destiny Hero Dogma as well.
Both Plasma and Dogma work fine in online mode. Please note that offline will always be a little behind online mode when it comes to bug fixes. If you want to test your deck, you can also create an online lobby and add a bot, just like in offline mode. That way, you’ll be testing with the most recent updates.