> All genders face gender discrimination.
This is true, but it should be noted that gender discrimination is fundamentally related to patriarchy and misogyny.
> For example, the country I live in is a Nordic country often hailed for equality, but the state forces all men to do slave-labour for the government.
I don't know anything about this so I can't really comment.
> Men and women face about the same amount of gender discrimination in Western nations.
I'm from the US, so I can't speak for every place, but that is most certainly not true here. Women and trans* folks are far more likely to experience sexual assault and violence compared to men and generally women face systemic issues revolving around family and work that men do not.
> Men's problems include more severe jail sentences, forced labour, lack of father's rights and so on.
In the US, its not just men that are more likely to receive jail time, but esp. black and hispanic men. There are systemic issues with racism that perpetuate this problem and this is intersectional with systemic issues with gender. All prisoners suffer from work programs that are essentially indentured servitude and forced work (not sure if that is what you were getting at).
In the US lack of "father's rights" is a red herring. Men have a high success rate in getting custody in family court when they pursue custody, however men do not pursue custody nearly as often. Also, any kind of bias or discrimination in favor of women in family court is rooted in misogyny in the first place.
> Interesting fact: majority of rape victims in USA are male.
This because the rates of rape for men overwhelmingly come from prisons and being incarcerated. Further more, this isn't really that useful of a thing to say anyway outside of the context of prisoners rights and prison abolition, as women do face high rates of sexual assault and rape and most perpetrators of rape are never convicted.