Jerk Sue : The author probably aims at Jerk with a Heart of Gold, but Hazel has progressively more and more of Jerk traits, and little to no Heart at all. Her relationship is based - on her part - solely on sex, she constantly fails to offer any support, feeling or pretty much anything to her friends and boyfriend other than the sight of her being drunk. And still she has all these people who care for her, the perfect Wish Fulfillment boyfriend and happy coincidences to help her pull through. As the comic progresses, the number of times other characters say out loud how they are friends and care for her increases greatly, too.
It gets a little better when her jerk attitude causes Zach to end his relationship with her, but the Sue end takes another spin through the revolving door when she gets a phone call out of nowhere offering her a book deal.
Jamie stumbles into that territory quite often too. It's just not as noticable, because of all the adorable bubbliness and because the jerkishness usually goes against Hazel, which seems to be acceptable.
One of his first appearances in "Members Only" (aka Guys' Night Out) had him confiding in Angel about how he seemed to either be invisible to women, or easily glossed over as soon as they saw another guy, and that only other guys and lesbians seemed interested in talking to him... only to then realize that he's sitting by himself.
It's come up again with this strip. Chris mentions that he's stopped hanging out with Jim because Jim can't stand to hear him talk about his relationship with Melody, implying that he's still gushing about his relationship and how much sex he's getting to someone who's lonely and having trouble meeting women. With the guys snarking about him and the fact they stopped hanging out with him after one frustrated blow-up that was taken out of context, they don't come off looking much better than Jim.
It's not really helped by the fact that Jim's early characterization came off as genuinely nice and well-meaning, if unintentionally creepy in his over-earnestness. It honestly sometimes feels as though that was how Corsetto really intended him as first, then she realized that no girl wanting to romance him for no logical reason they could put their finger on, could superficially fit into the narrative of real Entitled to Have You so-called "Nice Guys", so she re-tooled him explicitly into one of them.
Unintentionally Unsympathetic: Hazel as mentioned at Jerk Sue above, Corsetto has said that she deliberately writes her as a flawed character to make her more believable, however many times this crosses into Hazel being downright unlikable.
The Woobie: Thea is heading toward this territory. Loses her job: check. Sister has cancer: check. Girl she's taken with uses her for sex and exposes her to an STD: check. Yup, we've got ourselves a woobie.
She has a chalk board tally of girls she has turned straight.
Things are turning around, though — she had a Genki Girl almost literally fall into her lap and things have only been better from there.