You have a weak ship, and yes, you can't see lasers when you're being shot at those speeds. You're not missing anything.
Known as on Discovery RP 24/7: Thomas_Hill - Train [KNF]TakajiKimura - Chimera
You may also know me elsewhere as I'll Begin or something including "Volbeat"
Or if you want to destroy something just for fun,try out the deserted Nomad base in Newcastle.It's satellites(the ones that power the base's shield in SP) are destructable.Killing all of them won't turn off the shield though..It's fun to blast'em,though:P