you definitely should upgrade your old project to 3.4.
if you take a close look at the menu on top of this page, there is a link documentation which allows you to see the docs for (almost) all sencha products.
Personally I wouldn't go 2 to 3 to 4. Either jump straight to 4 or do a rewrite. It takes someone with a good understanding of your app to assess which approach will be faster. Either way, make sure you spend some time learning Ext 4 before you start the switch. Writing a small practice app is a good way to learn and allows you to make your mistakes on a smaller scale before you write the code that matters.