Hi,
You can give tse and toefl anytime not necessarily after applying for fpgee.But its good to give toefl and tse after getting your ee no from nabp(ee no is after nabp recives your documents and creates a file in your name).If you give exams before ee no then you will have to again send your exams scores to nabp through ets after getting your ee no.
You can give either toefl-ibt or tse.You should get either tse 50 or in toefl ibt
writing 24,speaking 26,listening 18,reading 21.But if you have not yet taken toefl before sept 24th give it or else after 24th sept ,you will have to give new toefl ibt.Hope I answered your questions
Good luck
hems