It really depends on how well you do on the tests and how fast you can finish those essays and get the whole package (transcript, recommendation, etc.) together. You should definitely be prepared for delays.
Like I said, it really depends on how fast you can finish things. I know someone who wrote their essays overnight and I also know people who spend months pondering their essays. It's really up to you.
Every one's situation is different, it's irresponsible to say whether you can finish G & T in two months without knowing your real capability and your expected score, you use english a lot doesn't mean you can perform well in the exams..