It depends on the case too - as in murder at the Old Bailey, or arguing the toss about a driving conviction at the county court. You might just have the one person.
The senior barrister is likely to be a Queen's Council - QC. Also known as a "silk". Can't remember why, but that should give you some terms to google.
There are also solicitor advocates who appear in court. Not sure if that is the term for all solicitors who can appear in court.
In an episode of the "Good Wife" Will, one of the senior lawyers in a US law firm, appears via a skype sort of link in a UK court. And is hauled up by the judge for disrepect to the judge because he turned his back on the camera, and hence the judge. Seems to be no rule in US courts about "bodily position".
There is another difference with the US/UK system. We have the Crown Prosecution Service and barristers are hired by the case to appear for the CPS, they are not employees like district attorneys. It is considered good career development for a barrister to appear for both prosecution cases and defence cases and you won't make "silk" unless you can show a wide CV.
Incidentally, you could try watching the TV series, "Silks".
It looks fairly accurate to me as a layman, and shows the differences to the US system (which I only know through TV too).
You have said "English" - be aware that England and Wales have the same legal system, Scotland doesn't. It is similar in many ways, but has its own terms for people and has a third verdict - not proven.