You opened IBKR first without going through TSG, right? If it says different entities, then you need to re-do everything, ie go through TSG website to open an account with IBKR. They will redirect you to an IBKR website.

If it says different entities, it means you can't link your ibkr to TSG. You've opened a different IBKR, not the one approved by TSG. 
I tried last Friday, will report my findings later this week.
Use transferwise.
It's nice that you called the hotline to confirm .... 

but I just want to say that, most if not all of us here are not working in a bank. What we posted here is what we have experienced, regardless of what a website, a customer service officer or a bank officer may say. Most of the time, when it comes to very specific questions that are not written black and white on the internet, I find internet users are more reliable because they have been through the process, whereas the customer support would usually be MCC mong cha cha.

Sometimes you see things like, "You're supposed to do/have A, B, C, ......" and even so, ppl went through without doing or having A, B, C.
Another example, IBKR doesn't encourage us to transfer money using fintech and yet we still do it. One guy even did it with BigPay. 

so you can understand sometimes ppl feel tired explaining. Sometimes I said something, then someone said, not written on the website. Then I've to play the sure-win card, "I talked to ibkr and they told me so!"  It's ok once in a while but sometimes I feel like giving up. Let them explore themselves.

Anyway, if you have other questions, feel free to post them here. We'll reply based on our experience.
1) Means your documents need to be certified by a notary public, but I don't remember going through this step.

2) I don't understand your question, what pump in fund???
Must deposit to activate the acc la.... can't open it and let it have zero balance for 10 years right?
The base currency doesn't matter. You can deposit in any international currencies.