Yes
Reading Born To Rock? No They are not, at least not to a giant magnitude. I'm sure there is a punk rock band called Purge somewhere out there.
They are punk rock, alternative rock, pop punk, rock, garage rock, new wave, and heavy metal.
They are a punk band, but also alternative rock.
No, but there is a song called Poison Heart by an American punk rock band called the Ramones.
Most of the hit singles are pop-punk, most of their other songs are punk rock or some are pop-punk. All their music can simply be called alternative, indie, or rock.
The Alley Cats - punk rock band - ended in 1988.
The Alley Cats - punk rock band - was created in 1978.
They could be considered punk rock, but are really more pop punk.
The band called The Staring Line is an American rock and punk band. Therefore, The Starting Line records music which is rock and roll or punk themed. One of their albums is called "Say It Like You Mean It".
They are a band, but they are classified in terms of genre as a indie rock band. However, they were punk inspired.
An Irish Punk Rock band you may be interested in is The Undertones, a band from Derry mostly known for "Teenage Kicks".
They are pop-punk, alternative rock and punk revival.