Ok, let's compare. Obama's statement is clearly hyperbole, as pointed out in another comment. It's a statement like "it was so cold I froze my a** off." Not meant to be taken literally. His statement was another way of saying it is very easy for a gang banger to get a gun in urban areas like Chicago.

Flyer's first statement is putting words in Obama's mouth, so patently false.

The 2nd statement is fear mongering. It would be better to say that criminals with easy access to guns will use them to commit crimes. 

The 3rd statement is laughable. The Australians, English, etc would be ROTFL at it.

The 4th statement is echoing extreme right wing propaganda. Most moderates and liberals have 'you do your thing I'll do mine' and 'a person's private life in NOYB' attitudes.