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.
Yes. Because you are negating its summon, you are doing it at a time when it is unable to use its own negation effect, and moreover, it cannot chain its Quick Effect to a Counter Trap anyway, so is unable to stop Solemn Judgment being used against other cards.
Jinzo, Royal Decree and Trap Stun negate the effects, Trap Jammer, Solemn Judgment, Seven Tools of the Bandit negate both activation and effect.
Obelisk the Tormentor (Effect Monster) is not Ritual Summoned nor does it require a ritual. To summon Obelisk the Tormentor, you must Tribute 3 monsters (it is treated as a Tribute Summon).
Yes. Because Obelisk the Tormentor is only protected from card effects that do not target, Tribe-Infecting Virus will be able to destroy Obelisk the Tormentor via its effect.
Judgment Dragon's effect does not target, so it can destroy Obelisk the Tormentor.
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.
It is an Effect Monster.
Solemn Judgment can negate summons that don't use the chain, by waiting until the monster is placed on the field, then negating the summon before it counts as being successful. When a summon occurs on the resolution of an activated effect, the summon is automatically successful when the effect resolves - but Solemn Judgment can chain to that activation and prevent the summon by stopping the effect resolution. So, if you Normal Summon, Synchro Summon, or perform a special summon that does not use the chain, such as Chaos Sorcerer, you can negate the summon as per the first bit above. If you special summon on resolution of an activated effect, such as Monster Reborn or Call of the Haunted, Solemn Judgment can chain to these activations and negate them. No resolution means no summon. But, note that Solemn Judgment can only chain to the activation of Spell or Trap cards. If the special summon occurs on the resolution of an activated monster effect, Solemn Judgment can't stop it. It can't chain to it, and as above, the summon is successful when the effect resolves. So that is why Solemn Judgment can't do anything against the triggered effect of Gorz the Emissary of Darkness, but is able to stop special summons that aren't by resolution, such as Chaos Sorcerer.
Yes, it can. White Night Dragon can only negate Spells or Traps that target it. For one, Solemn Judgment does not 'target' anything, and for two, WND's negation effect is only active while it is face-up on the field after being successfully summoned. Solemn Judgment is preventing its summon.
Yes. Because you are negating its summon, you are doing it at a time when it is unable to use its own negation effect, and moreover, it cannot chain its Quick Effect to a Counter Trap anyway, so is unable to stop Solemn Judgment being used against other cards.
No, you cannot use Solemn Judgment to chain on Special Summons that are from activated effects (Mother Grizzly, Battle Fader, etc.). You can chain Solemn Judgment to cards that are Special Summoned through its own effect, while it does not have to be activated to do so (Cyber Dragon, Dark Armed Dragon, etc.).
Yes, "Obelisk's" effect can be negate by "Divine Wrath". "Divine Wrath" activates in response to "Obelisk's" effect but does not target the card, it only negates it then destroys it.
No. Monsters can special summon themselves in two ways, there are monsters that special summon themselves without using the chain, such as Cyber Dragon, and Dark Armed Dragon, but also Synchro Summons. Then there are those that are special summoned by the resolution of an activated effect. To negate the former, you wait until the new monster is placed on the field. Summon negation cards like Solemn Judgment, can then be used on it. To stop the summon in this latter case, you have to negate the activated effect - once it resolves, the summon is successful and can't be stopped. DD Scout Plane summons itself on resolution of its Triggered effect. Solemn Judgment cannot negate activated monster effects, so cannot be chained to this activation. Once the effect resolves, DD Scout Plane is considered to be successfully special summoned, so can't be negated. If the monster is being summoned by an activated Trap or Spell card, Solemn Judgment can be chained to these. But it cannot stop a summon from an activated monster effect, which is why Solemn Warning became so heavily used, because it can negate such monster effects.
Majestic Red Dragon cannot use its effect negation effect against Obelisk the Tormentor because it targets. However its destruction effect when it attacks does not target, and can be used against Obelisk.
Jinzo, Royal Decree and Trap Stun negate the effects, Trap Jammer, Solemn Judgment, Seven Tools of the Bandit negate both activation and effect.
Most of them say "This card cannot be used in a duel" (either in English, or Japanese, on the GBI versions).However there is now a game legal print of Obelisk, it is JUMP-EN037, and is a regular Effect Monster version of Obelisk the Tormentor.