He's not the one dragging this out. A-holes in Congress and the media keep badgering him about it. if the first heart-felt apology wasn't good enough for them, he should tell them to all go ef themselves. Maybe he should tell them that if Clinton didn't have to resign for misconduct in the Oval Office, then he sure as heck wouldn't resign his post for having his words misinterpreted.
I've not heard what "all these problems" means, but a go slow approach to segregation/integration might have prevented "all these problems" we have with the welfare state. Maybe if the races were kept separate for a little while longer, the black middle class might have had a chance to flourish and families could have passed the work ethic and a respect for education on to the next generation. Instead we have problems with people who don't want to work and expect the government to provide their every need. That's what I think "all these problems" means.