as long as we're on the subject of realistic space combat, i should throw this link out there: Atomic Rockets.
i'm not certain what orbital speeds are, but kinetic mines are usualy the most cost-effective weapon in space warfare. now, considering how cluttered low earth orbit is in the '70s, dropping a cloud of kinetic mines would be about the same as carpet bombing a residential neighborhood in order to destroy a single house.
Lasers are the next best option, but i'm assuming that the Corporate Court is staffed by people who are inteligent, and have reenforced thier space station with that laser-reflective armor (not a very realistic solution, but within the SR rules...okay). so they're not going to be of much use either.
i'm not convinced that missiles are going to be of much use, since an active rocket engine is really easy to detect, and from what i understand they've deployed a decent point-defense network. sure, you could put enough armor on the missile to withstand a few hits, and give it a guidance system sophisticated enough to avoid getting shot down, but if you're spending that much nuyen, why not just launch a manned assault?