As some have suggested, it seems possible that Apple doesn't expect to win any or all these cases. They just want to delay their competition as much as possible, and give themselves more time to work on their own updates.
I don't think that Apple really does expect to prevail on every infringement alleged in every court case.
At the end of the day the Patent System is all about "delay." Patents are supposed to give an inventor sufficient time to profit from his unique invention. Current US Patents have a lifetime of 20 years from the date of filing. Which - in the computer business - is several lifetimes. I'd imagine that the present economic value of most computer patents filed in 1991 was pretty minimal. So if Apple can keep Samsung on the legal hot-seat for a year or two, that plays to Apple's advantage. It means another fifty or a hundred million iPads in the hands of customers.
Is Apple "abusing" the legal system here? No, I don't think so. They came out with what are, unquestionably innovative and popular products with the iPhone and iPad. They patented, trademarked, copyrighted, and registered as much of them as they could. And Samsung copied them. (I don't understand why people are in such denial over this) Whether Samsung's copying rises to the level of legal IP infringement is something for the Courts to determine.
If Samsung doesn't want to be sued, then Samsung ought not to make such blatant copies of Apple products. It is certainly possible to do so. I'm quite sure that Windows Phone, or Windows Tablet will look quite different from Apple's products.
Lastly, I'm still wondering why so many people are such passionate supporters of Samsung. I am totally unaware of any actual innovative products ever produced by Samsung. They seem to be little more than a nasty conglomerate, whose growth has been funded through the profits they enjoy as a de facto monopoly in South Korea.
Samsung has a pretty poor reputation for looking out for computer owners: it has admitted to being part of cartels and conspiracies to fix the prices of everything from DRAM chips to LCD panels, and has paid hundreds of millions in fines and penalties.
Lastly, one little story to further illustrate what a sneaky, nasty, organization Samsung is:
In 1995 Samsung bought storied German firm Rollei, maker of the famous Rolleiflex camera. Samsung, however, thought it would be a good idea to "use their optic expertise" to start putting the Rollei name on a line of watches. Of course, there is a very well known Swiss watchmaker with a name that sounds very similar to Rollei. And they fought Samsung tooth and nail to keep their Rollei watches from being sold in Germany and Switzerland.
Samsung gave up the effort, and sold Rollei back to its management in 1999.