I have also had issues using iPad2 and also using Safari on any Mac. I actually emailed them about the issues and had a call with them to discuss, during which they flat out told me that they had not devoted time yet to making the site fully accessible through Apple products including iPads and Safari in general. My immediate response was to remind them that Steve Jobs had owned a large chunk of the company and was on the Board before he died, so how in the woirld can they be dancing on his grave by ignoring Apple products.
Nevertheless, what I have found is that Safari on the iPad is often a problem just to get on and then when you can and try to search for possible reservations, it will conk out, but Chrome (download from App Store) more often works although even with that if you time out for a while and then have to get back on the site, it won't even let you sign on without restarting your iPad. Note that i have actually tried three different iPads (we have three in the house) and the issues have been the same so I cannot assume it is just my iPad. Moreover, I have sometimes had like problems with Safari on a Mac computer but Chrome has usually been fine on the Mac.