I've got a Jot Script on the way. The reviews I've seen so far seem to sum up as; it works pretty well, for an iPad Stylus, but no as well as the real pen-replacement stylus that everyone dreams of. A couple others on the forum have already received theirs.
http://www.ipadforums.net/ipad-general-discussions/116257-jot-script-stylus-first-look.html
http://www.ipadforums.net/ipad-general-discussions/117059-some-impressions-jot-script-stylus.html
You won't find a stylus that works as well on the iPad as the Note 10 tablet. The technology is different. The Note series of Samsung products are designed to work with a stylus from the ground up. On the iPad, styluses are a third party workaround.
Still, they may work well enough for what you want, and I (personally) like iOS well enough that I would not trade it for just a better stylus experience.
As for apps;
Penultimate is free, and designed to work with the Jot Script, mostly improving the palm rejection. Grab it and see how well you like it. It works well in conjunction with Evernote, if you already use that service as well.
Evernote, Penultimate, and Skitch together make for a very powerful and flexible note taking/keeping solution. The only downside is that many powerful features make for a higher learning curve, at least if you want to get the most out of them. You'll also have to pay for the premium account ($5 a month) to get all the bells and whistles. Worth it if you're going to use the product heavily (in my opinion).
There are other apps optimized to work with the Adonit Jot series of styluses. If they don't already support the Script, I would expect them to do so soon.