The fact that mother was more concerned about his brother and kicked Woojin out. Like wtf?...

yeah, but that also means she trusts woojin that he'd do good outside their house. it's still a mother's love regardless, altho they may be complicated specially when it's from different perspectives

Hell nah, she is pushing him to grow even more while the older brother stay protected. That's not the right way to love or teach your sons. She solves no problems. It's truly her faults lol