As many other have said, Kojima is a family name, not a given name. As for Umiko, while there are many Japanese women's names that end in -ko, Umiko is not a name that I've ever encountered while living in Japan, and a Google search (in Japanese) for it doesn't turn up any results either.
u Is it ok for us to give her a Japanese name? v
That depends on what your criteria for "OK" is.
In Japan, people aren't likely to be offended. However, there are very few people in the world who have a Japanese name but do not have Japanese ancestry. You said your daughter will be 1/2 Filipino 1/4 black 1/4 white, so if she introduces herself with a Japanese name, people will probably either: A. Assume she's half-Japanese, possibly ask if her mom or her dad is Japanese, and if she has any relatives in Japan. When she says no to all of those, they'll probably ask how she ended up with a Japanese name. B. If, by appearance, she doesn't look even half-Japanese, they'll probably ask how she ended up with a Japanese name.
Japanese people are unlikely to be offended that your daughter has a Japanese name, and it's unlikely that anyone would accuse her of "stealing Japanese culture." However, Japanese people probably will think it's unusual that a girl who has familial or cultural connection to Japan, didn't grow up there, and whose parents don't speak the language has a Japanese name, and some might even say "That's unusual."
So, to answer "Is it ok for us to give her a Japanese name?", people in Japan won't be angry at her, so if that's your criteria, then yes, it's probably OK. On the other hand, giving her a Japanese name will definitely arouse people's curiosity, and so she may end up frequently having to deal with being asked questions about her name and either taking the time to answer them or to politely decline to, and if she does answer, she may have to be braced for Japanese people reacting with "Oh, how unusual," which, even if they're not saying "unusual" is necessarily "bad," might also be an inconvenient hassle for your daughter to deal with,
As for how people would react in Canada, that's something I can't comment on.
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