Are women equally represented in Skyrim?
In some ways, probably more than they should be. What I mean is that when I'm going around splitting bandits' heads open, a lot of them are female, and this isn't realistic. While females represent just over half of the population of the real world, they've historically been a tiny minority when it comes to a lot of roles, including soldiers, pirates, and bandits/mercenaries/whatever. Movies, television, games, and books like to toss in more female characters into these sorts of roles than what would be realistically representative. Now, my point here isn't sixist in any way, mind you. I treat genders with a greater degree of equality than anybody I know, including women (since women often like to cling to certain unequalities that are to their advantage). It's just that while I'm the most fair person that I know I'm also brutally honest, for better or worse.
Using a recent example, some weeks back I was watching Neverland on Sci-Fi (I refuse to use their new spelling). It was based around Peter Pan, Captain Hook, and that sort of thing. In the movie they had the pirate captain as a woman. While it's technically true that there have historically been female pirates, and possibly even in a captain's role, they were unquestionably rare exceptions, so the odds of your ship being raided by pirates with a bunch of women making up a big chunk of the crew is unlikely and the odds of that ship being captained by a female pirate would be almost nil. That's just the facts of reality.
So, realistically, there might be a few females taking my blade through their chest, but they should be fairly rare. Skyrim, however, has a lot more women taking up bandit or warrior professions; more than would be believable.
As for the remainder of the topic post, I'm going to be honest and admit that I just skimmed over it. I saw bits about wanting to change lyrics so that they were more gender-neutral rather than being male-specific. While that may be nice for feminists or to appeal to PC sensibilities, I have to object and for good reason.
Let me use Huckleberry Finn as an example. Earlier this year I learned of new editions of Huckleberry Finn that were to replace the "N word" with "slave". I object to this because 1) it's changing an original, classic literary work and 2) it's supposed to use the "N word" because that's the language people commonly used at the time. Changing it to be more PC would be like having a movie with the KKK as primary antagonists but then making them more PC by having them refer to black characters respectfully. It wouldn't be an accurate depiction at all.
This would hold true with something like songs and written texts in the Elder Scrolls universe. While technically a fantasy universe, it couldn't help but draw on elements of the real world, and Tamriel more or less mimics medieval Europe. The importance of this is the fact that medieval Europe was very male-oriented. For example, written texts would be expected to use he/him/his/man/men instead of more gender-neutral terms, and these things would typically be understood to also reference women, much as they did in the Bible, with only gender-specific references using she/her/woman/women. The term "man" isn't even exclusively for men, as "man" or "men" is also used to reference humanity in general regardless of gender ("mankind", for example). The phrase "children of men", for example, likely wouldn't specifically mean children of males but children of humanity, here with "men" encapsulating both genders. It's really just feminists who have a major problem with the term being used interchangeably.
Further, humans tend to assume that you reference a male unless you specifically state otherwise, with the exception of specific roles that are typically associated with women. An example of the latter would be a reference to a flight attendant, which almost all people would assume to be female unless you specify that it was a man. This isn't just men who do this, but most women as well. When you have words written about nonspecific people, using terms like he/his/men isn't at all unusual, but it's really not all that sixist since, as I've mentioned, terminology for males often applies to humans in general regardless of gender. "Men of the north" thusly doesn't have to be read as specifying gender, as "men" can also be used gender-neutrally for humanity. (Note that "human" has "man" in it, as does "woman".)