In the text

"So while doing just that I immediately heared a woman say this to her male friend:"

"heared" should be "heard".

As for:

"Is it actually normal to combine if and would in the same close? If it is, then what difference would these two sentences have?

If you would just speak to him for me...
If you spoke to him for me..."

I really don't see much of a difference except for a subtle one.

Scott