" Many people did not want the trams to run on a Sunday, and 3,500 people put their names on a petition to stop the trams running on a Sunday" why? And I would replace "running on a Sunday" at the end with something like "running that day" to prevent repetition.
"The company's manager said that there were lots of people who rode on the trams on Sunday and that the service would continue. If the service made money on a Sunday, then the trams would keep running. " perhaps remove the first "and that the service would continue" and then you have a better structure.
"The first tram route that opened was Stag Gate - Holy Rood." remove hyphen and replace with English, i.e. "from Stag Gate to Holy Rood".
Multiple destination routes should use an en-dash to separate the locations.
"One of the managers ran away with some money to America in 1881" - ran away to America with some of the company's money?
"got the sack" isn't Simple.
"because they changed from 3d to 2d for "through routes" - not Simple, what's a superscripted d? (I know but do our readers?) - what's a "through route"?
"The tram times became two times as fast to every 5 minutes" no, perhaps "twice as frequent to one every five minutes"? Or is that route down to 5 minutes? In which case it should be "times reduced by half..."
Couple more refs wouldn't go amiss, e.g. the 51,000 purchase.
twenty-three -> 23
Few more redlinks around here.
Why tram numbers in bold?
Installment doesn't exist at simple wikt.
"Southampton Corporation" or "Southampton Corporation Tramways"? Which is the official name?
"They decided that Southampton's was going to be based on Liverpool's. " bit clunky. Perhaps "...that the tramways in Southampton would be based on those in Liverpool"?
Stag Gate or Stag Gates?
If you want to say "World War One" then at least say "World War Two" rather than "World War 2"?
75-80 should use an en-dash.
Sixty three should be 63, but if you insist on words then use a hyphen. This also needs a full stop.
You don't need to use ref [2] 11 times in one paragraph. And when you do use it, put it after punctuation, not before.
Now you have "World War I" and "II" - be consistent, and avoid overlinking.
"To try and stop this women ..." - "In an attempt to stop this, women..."
"no.31 " - No. 31
"incendiary bomb" - not Simple.
Ref 2 used 7 times again in a single paragraph. Go easy!