but the rng picks numbers even when the machine is not being played. so the numbers can't be exactly found in a sequence.

How would the previous sentence be correctly capitalized?
Answer: But the RNG picks numbers even when the machine is not being played. So the numbers can't be exactly found in a sequence.
built-in 3-port gigabit switching hub in both transmitter(tx) and receiver(rx) boxes.

How would the previous sentence be correctly capitalized?
Answer: Built-in 3-Port Gigabit Switching Hub in both transmitter(TX) and receiver(RX) boxes.
the large extent of the necropolis of bagawat is the result of this and his supporters' exile.

How would the previous sentence be correctly capitalized?
Answer: The large extent of the Necropolis of Bagawat is the result of this and his supporters' exile.
the catalan capital has become one of the favorite destinations for young people wishing to pursue their studies for its wide range of universities.

How would the previous sentence be correctly capitalized?
Answer: The Catalan Capital has become one of the favorite destinations for young people wishing to pursue their studies for its wide range of universities.