Please capitalize where necessary: check out the cavernous music hall and the stunning throne room designed by jean baptiste robillon in 1757, which contains a fresco painted by francisco de melo showing the portuguese royal family enjoying a classical concert.
A: Check out the cavernous music hall and the stunning throne room designed by Jean Baptiste Robillon in 1757, which contains a fresco painted by Francisco de Melo showing the Portuguese royal family enjoying a classical concert.

Please capitalize where necessary: already he was showing exceptional talents for reading, writing and calculating.
A: Already he was showing exceptional talents for reading, writing and calculating.

Please capitalize where necessary: organized in collaboration with the danish embassy luxembourg, louise bang jespersen, e-mail: loujes@um.dk
A: Organized in collaboration with the Danish Embassy Luxembourg, Louise Bang Jespersen, E-mail: loujes@um.dk

Please capitalize where necessary: plasma column begins to expand very quickly to the side, initially at supersonic speeds, which over time will slow down to the speed of sound, and even later to subsonic. until its speed drops below, say 300 km / h (one-third the speed of sound, still far above any ambient wind), will be its shape and spreading managed by primarily its own, laws and rules.
A:
Plasma column begins to expand very quickly to the side, initially at supersonic speeds, which over time will slow down to the speed of sound, and even later to subsonic. Until its speed drops below, say 300 km / h (one-third the speed of sound, still far above any ambient wind), will be its shape and spreading managed by primarily its own, laws and rules.