Can jQuery provide the tag name?

You could try this:

if($(this).is('h1')){
  doStuff();
}

See the docs for more on is().

$(this).attr("id", "rnd" + $(this).attr("tag") + "_" + i.toString());

should be

$(this).attr("id", "rnd" + this.nodeName.toLowerCase() + "_" + i.toString());

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