Good Luck Flag Opinions

Hi All -

I am looking at a couple of different Good Luck Flags but I don't know Kanji to help identify real from fake. I am trying to learn but I need the help of people who can actually read it. Also, what are fair prices for these flags? I have only been looking for a few months and see $300-$600 but don't know if this is high or reasonable. I attached a photo of each of the flags. Any help is appreciated! Thanks

1, 2, and 4 all say 武運長久 (or 祈武運長久), which means "good luck in battle", and is the most common phrase put on such flags.
1, 2, and 4 all have the recipient's name on the flag.
1, 2, and 4 all have patriotic phrases or poems on them.
And then they all have signatures of well-wishers on them.
#3 looks very suspicious because there is no recipient, and the names look Chinese rather than Japanese.

1, 2, and 4 all look OK to me, but I am not a native speaker.
$300 - $600 feels like the right ball park, but swords are more my thing. WW2 memorabilia is not my specialty.

Sorry, I have been busy with work. Thanks for your reply! I am still learning about these flags and trying to find one that has more information/history to the flag that I can't read myself. I know you said this isn't your specialty but would you mind taking a look at another flag I am looking at? I am learning so, it looks like it has the phrase 祈武運長久, which means "good luck in battle" (courtesy of you). Is there anything else interesting on it? Like the owner's name? If the flag could talk it looks like it would have a lot to say and that's what's catching my attention. Thanks for your help so far and if you are willing to help me again.

Yes, you have the phrase right (its on something like 95% of these flags). The rest of the writing is just names.
It looks authentic enough, but there is no clear recipient's name, or presenter's name/organization. Just names.
It looks better than the other flag that was posted today by a different poster.

AustinNor said:

View attachment 122470

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I'm looking for help in translating or figuring out names on this flag as well.