Right as always. So you're saying that your accent is adapted with British accents? It's a big WOW for a Persian Language fellow like you!
And about the GRE... Yes definitely this one is one of the most influential scores that one can obtain through possessing an entrance during a interview placement.
But in the terms of "no differences between TOEFL and ILETS" I have to disagree! All U.S and all their subgroups are using the TOEFL but very few to mention some, like Australia, New Zealand , Canada and U.K subcountries are accepting the IELTS. That's why I'm very keen to change your decision, unless you are so damn sure about it!