[1] Simply wrong. Plenty of skilled/educated people holding down crap jobs because of shortages of jobs that need their skills. And plenty of low-paid workers have excellent skills at doing their current jobs, too. They just aren't earning enough.[1] Minimum wage jobs are filled by individuals with minimum useful job skills.
[2] If we were to raise the minimum wage to $15 per hour what do you think the guy who currently makes $15 an hour would need to have?
[3] Wage inflation would work it's way up through the entire employment chain...
[4] ...until eventually the $15 an hour minimum wage earner would once again be right back where he is now.
[5] The only solution is for these individuals to develop useful/marketable job skills......
[2] He'd probably want more. What's wrong with that? He can ask for more. Just as he can right now. This isn't even slightly a good argument against raising the MW.
[3] Probably, at least some way up the ladder. A boosted MW isn't likely have much impact beyond lower middle class salary levels. But even if it did, so what? Again, not a reason to oppose a MW raise.
[4] No reason to believe that as long as a COLA is part of the law. And therefore, yet again, not a reason to reject a MW increase.
[5] That's always a good idea for people who have trouble getting good jobs. But, again, not a reason to refuse to raise the minimum wage.