A ranged attack is any power which has a ranged keyword.
First: The shield of deflection*:
Property: You gain resist 2 to all damage from ranged attacks and area attacks.
As per the ruling on magic missile, there is a headache inducing thread** as to what constitutes an attack, or attack power.
For purposes of the shield, if it has "ranged" or "area" in its range line, it should count.
To re-articulate the conclusions of the thread, I'll be ignoring it and going to the PHB FAQ which states:
What happens if I use magic missile while benefiting from a power like greater invisibility? Does it count as an attack and would my invisibility end?
Yes, it does, and yes, it would. The initial use of any attack power that has a target line, an attack line, or both counts as making an attack. Because of this fact, using an attack power like the fighter's rain of steel does not count as making an attack, since the power has neither a target line nor an attack line.
Therefore, because if something has a ranged or area ranged line it must, perforce, have a target lines, for purposes of this question it is the only necessary criterion to determine resistance.
The force orb secondary attack may qualify for the resist
Force orb, ultimately comes down to the DM's call. While the secondary target does not have ranged nor area in the target line, it is producing the effect equivalent to an area from a ranged attack. One argument in favour could be that it inherets the "ranged" range from the primary attack, as it has not overriden that range. One argument against is that the use of "adjacent creatures" indeed overrides that range with the functional equivalent to a close range. Offer your DM asprin and a link to the above thread. Bribery may be useful here.
The erupting flare non-attack damage does not qualify for the resist
This taken from PHB FAQ as above, given that the power neither targeted the character nor was an attack against the character with ranged or area keywords, the character would suffer the full effects of erupting flare.
Area attacks do qualify for the resist if you are using the normal item
Being targeted by a normal area attack does qualify you for the resist so long as you are using the item as printed, rather than the item you paraphrased.
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*One of my most favourite common items to builds that don't need IAoP. Just love it. Looking at the paragon version, it has indeed benefited from errata making it more generally useful.
**Warning, over 500 posts long. It really is painful.
Best Answer
Your character can't make use of this spell unarmed
Sadly I think you've found an issue with the generator. According to a 4e wiki. Jinx Shot has the weapon keyword. The rules pertaining to that say
Because you have no ranged weapon, you have no range for the power to use either. Because of this, you cannot use use Jinx Shot unarmed unless you find some other rule, ability, or spell that grants you a ranged unarmed attack.