The problem with this is not everyone who hates her, hates her because she's "shrill" or whatever. There's more nuanced criticism of that character to be found, and you can't hand-wave it all away as sexism.
She starts the series as this babbling, selfish idiot hanging onto her unrealistic dream of being a published writer - forcing her husband to work an embarrassing second job to make things work for her and their disabled son. Her entire first season character arc was essentially to be irritating and help drive home the fact that Walt hates his life. This is reinforced by flashbacks to his old life, his ex and his hesitation to get treatment for cancer. What's to like about her? I don't even think it was a goal of the writers room to make her a person we like.
Then you get passed season 2 and the idea that he's only cooking meth because he wants to set up his family goes away entirely. So to give her something to do, you make her complicit and have her launder his money. You get to a point where she's not only barking orders, she implies that he should kill Jesse.
Which, cool, she's "breaking bad" too! Except, no, her evil husband gave her a scolding so now she's the victim. And now we have all these compelling episodes about robbing trains and pushing meth and the cat-and-mouse game between Hank and Walt broken up but these insufferable scenes where she's shouting "shut up! shut up! shut up!" and dramatically sitting at the bottom of pools.
I know there are people who overly relate to Walt and dislike her because she's a problem for him, but no, she's a less compelling character than many of the male characters. I put that on Vince Gilligan and company who maybe managed to make ONE female character interesting in that entire run - Lydia - and she appeared in only a dozen episodes.
1) No, she starts the serious off with a meek Husband who wasn't putting any energy into the relationship, as flawed as she was.
You know why Skyler wasn't working? Because she was pregnant and Walt didn't want her to work, which is why when she suggested going back to work he refused.
Prior to the Skyler had worked while raising a disabled son, Walt wasn't forced to work anywhere, it was his contribution to the household and his position was the result of his ego destroying his life years prior to then.
Why people continuously out the onus on Skyler for the lack of fire in their life/Walts meekness is forever a mystery to me, they were mutually at fault.
Just because a large portion of the first seasons framing was to paint Walt's life as dreary doesn't mean it's the only point at play, there were many other ways you could look at how things were playing out and see a different story for Walt and see Skyler in a different light rather than just banging out about veggie bacon and a handjob.
"Oh no Skyler had issues dealing with the fact her husband had cancer and didn't want treatment, oh no Skyler was a suburban housewife why is she so ignorant, oh no Skyler took initiative to try and get Walt a legitimate job why is she superseding him like this!"
She wasn't an idiot in the first season, maybe a bit naive, but overall she was doing normal things in a narrative that was anything but normal which made her actions stand out as egregious.
2) I'll quote the post I made prior to this one to respond to your second point:
"Funny part about that, is that a lot of her haters when backed into a corner try to flip things around on people and respond with how she should have left him/is culpable/is enjoying the fruits of his money, when 9/10 times that is totally beside the point of whatever the person defending Skyler (such as myself) is saying, or doesn't even conflict with what they believe about her character, as if by pointing out Walt's issues or the abusive relationship she suffered through is claiming she's faultless.
Especially since Skyler literally admits to her culpability unlike Walt on multiple occasions.
And the money argument is ridiculous because aside from the scene where she splurged on some Wine or something, Skyler was incredibly conservative with the money/felt trapped by it on occasion and initially only got involved for it in order to help Hank (though still technically wrong).
The issue was when she got the initial thrill of the plotting and wanting to take charge, but once she got a taste of how deep this really went and got slapped by her concious the hole was dug too far, her hand was in too many pots, and Walt went full domestic abuse beyond his early season 3 domestic abuse and the bad decision making and meekness took over."
3) Skyler is incredibly interesting in my opinion, and her Season 5A conflict with Walt is one of the show highlights, Anna Gunn was incredible and the scenes where she cut through Walt were cathartic.