Very strange indeed & sorry to hear your having connection issues, ironically this is one area where I actually notced big noticable improvment over my old ipad1 in that my new iPad 3 loads web pages noticably much faster then my ipad 1, in fact I did a side by side comparison, having cleared caches, I hit the load links exactly same time, but the 3 had loaded while the 1 was still only halfway across on the progress bar, so a really big improvement in loading speeds..certainly when compared with the first gen iPad.
I would try doing a reset, by holding down on/off and home buttons, and thoughly check you are indeed putting in correct details, it's dead easy to forget u changed passwords or something else.. I know as I've done it myself loads of times. Is everything else connecting to your router with same details ok.?
You obviously need to ascertain if indeed there is a mal function with it, if so, then get it swapped out, sorry I'm not able to offer anything really helpful matey.