Well, first, I'd advise to try and meet the Lazer Punk in the system when there is another Igadzra Igazra or Zidagar Zidara in the area. I used that to destroy an AW in a fairly non-upgraded Arada quite easily. It's kinda hard to do; sometimes you'll have to enter the system multiple times before you get lucky, but it pays off in the end. Just let the Igadzra or Zidagar do the major work for you, then just move on in for the kill.
However, if you can do that, then I would suggest that (if possible) you try and buy a space bomb. Just one will take care of most of those pesky fighters, but be sure to be far away from the explosive, which will positively total your ship easily.
Another note would be to first worry about taking out the fighters; ignore the warship, just nock out the Azdaras with lots of highly-consontrated phase fire or some dispersal rockets, then go for the Lazer Punk. If it has long-range ammo (like pursuit missiles or SADs) your best bet is to stay away from it as long as possible until it runs out. Then move in with your own long-range weapons, and once it's softened up enough, kill it.
Hope that helps. Good luck on killing the ship.
-Captain Carnotaur
P.S. Another note; get as many speed, acceleration, and maneuvering upgrades as you can before you try this mission. Helps a lot.
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If at first you don't succeed...Hit it harder! - Me
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Millennium. Its coming, prepare for it.
Coming to the (url="http://"http://www.ambrosiaSW.com/games/ev/chronicles.html")EV Chronicles(/url).