If anything does not make sense, ask as many questions as you need.
By coincidence all the excising players ended up with characters who had done exactly 5 Terms. None of us thought it fun to limit the number of Terms --preferring to push it as far as we felt safe to-- so don't feel any pressure to follow that pattern. However, if you do decide upfront that you want to also do exactly 5 Terms it is possible to look at Connections between the characters at each Career/Life Event step, but that can slow things down in PbP and it is simple enough to go back at the end and see who else was involved based on what they were doing at that time.
We can forget about and redefine the existing Connections that the existing players might have based on the new crew, we can start afresh.
While it might feel a little funny to us to give a name as the first thing --as the rules demand-- it does make some sense.
'First' is a strong word, though, and I would recommend doing the whole first part as a unit. So: Name; Background Skills; Where you Came From (working with the background skill choices), and where you hope to end up. The name might be tied to the place you come from, your culture, or what your pre-adventuring background was.
The above part is the bit where you have control, and can make choices, this defines who you were before you went out into the world.
I won't enforce 'name first' thought, if you want to save it for the end as is often more common these days.
You also don't need to ever use your given name... (except with your parents?)
We can also shift the Background Skills around during the first Term if we find we messed up the choices and such (but this should be based on the choices not the dice, of course:), so don't stress about getting things exactly right the first time.
There is no problem taking the same or similar Careers as others may already have, and it can make for interesting connections and shared in-game goals.