O que significa soup comments,fraying hair-ends,grow bananas,double-stitch their pants ?

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It's talking about a town in Croatia named Split. The speaker obviously thinks the name is funny, and is thinking of jokes he can make about the name Split. He's thinking of English phrases that include the word "split:"

banana split
split pea soup
split ends (hair)
split your pants

Therefore he asks his traveling companion questions like these:
"Do they grow bananas here? Is this where the banana split originated?"
"Is this where split pea soup originated?"
"Is this where split ends were discovered?"
"Do people double-stitch their pants here, so they won't split?"

And so on.