The first attack happened at around 8.50pm when a shed was set alight in the Meadow area.
Ten minutes later it was reported to police that a car had been set on fire and extensively damaged in the Kintyre area.
Then at around 9.05pm a car windscreen was smashed in the Islay Street area.
The man whose nephew owned the burnt out car has spoken anonymously to UTV.
He explained that he had been more concerned for the family living next door, as the fire had spread to the hedge beside their house.
"My nephew was over and we were sitting in the kitchen talking about work, while my son was in the living room," he said.
"The next thing he came into the kitchen saying: 'Dad, the car is on fire'. I ran out into the hall and looked out and the car was engulfed in flames and the neighbours' hedge as well.
"I feared more for my neighbours' family because it was closer to his house I ran round there to try and alert them."
At this stage police believe the three incidents may be connected.
They come after a series of arson attacks on vehicles in Antrim over the weekend.
Trevor Clarke, of the DUP, said: "Certainly in my own mind there seems to be a linkage between these incidents. These are quiet residential areas so anyone with any information must come forward whether they thinks it's important or not.
"Give that information to police and bring an end to this."
Ulster Unionist Councillor Adrian Watson said: "This is probably the sixth or seventh attack on vehicles over the last five or so days.
"There is nothing to carry these attacks together - they're all individuals, some of them elderly people, no family connections or theme to the attacks that the PSNI can follow up.
"There's no justification."
Anyone who witnessed any of the crimes of who has more information has been asked to contact Antrim Police Station on 0845 600 8000.