No, Stardust Dragon's negation effect is a spell speed 2 quick effect, which cannot be chained to a spell speed 3 card such as Solemn Judgment.
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no it does not because stardust only stops effects that "destroy" a card(s) "remove" is different and therefore stardust cannot negate the effect Also you can get a card called divine wrath in a pack and negate it. - [Kaizoku] -Stardust Dragon/Assault mode can, Stardust Dragon can only negate destruction.
Monster Quick Effects that can negate things are ruled that they can be activated in the Damage Step. That includes Gladiator Beast Heraklinos, Horus the Black Flame Dragon Lv8, Light and Darkness Dragon, Stardust Dragon, and Stardust Dragon Assault Mode.That means any appropriate ones from the above are able to negate Honest.
Copycat has an effect that Triggers when it is summoned. Stardust Dragon Assault Mode can chain to this trigger to negate it, and destroy Copycat.
In terms of attack, yes, "Obelisk the Tormentor" and "The Winged Dragon of Ra" (if it has enough attack) can beat "Stardust Dragon".However, if you are referring to the destruction effects of "Obelisk" and "Ra", then "Stardust Dragon" does "beat" them since it can negate their abilities and destroy them.
No, a Set is not a summon, summon negation cards cannot be used against it.