Could you correct my English?

[chikara]

.... I think these should both be excitedly rather than excitingly ......

It could be either but in the context of that narrative style "excitedly" is more likely. As you explain "excitedly" reflects how Peter and Jack are feeling when they make those statements, they are "excited", and "excitingly" reflects the effect that hearing those statements has on the other, it is "exciting".

[aky2010]

みなさま、添削＆丁寧なご説明ありがとうございます
I've made many careless mistakes! I must be careful:(

It was so attracted him that he was sorely tempted to tried it on.
- was => had

It had so attracted him....means I need to change to present perfect form,right?
because he still has been attracted to the mask?　

.... I think these should both be excitedly rather than excitingly ......

It could be either but in the context of that narrative style "excitedly" is more likely.

I didn't know that there are two kinds of adverb of "excitement"!
Which meant we can say,for example,
"The mask has some excitingly magical power."
そのマスクは何かわくわくさせるような不思議な力を持っていた。・・・does it make sense?
(日本語にも問題があるかもしれない^^;）

Thank you for correcting!!

[chikara]

I didn't know that there are two kinds of adverb of "excitement"!
Which meant we can say,for example,
"The mask has some excitingly magical power."
そのマスクは何かわくわくさせるような不思議な力を持っていた。・・・does it make sense?
(日本語にも問題があるかもしれない^^;）

Thank you for correcting!!

Yes, you could say that or "The mask has some exciting magical power(s)". The use of the adverbial form, as in your example, and the use of the adjectival form, in my example have slightly different nuances. In my experience the use of the adjectival form is more common.