javascript for new tab (CTRL+T), new window (CTRL+N)?
This is a long standing issue with Flash and browsers. (And I mean long - check out this eight-year-old bug on Mozilla browsers.) The problem is that Flash intercepts all input events, rather than the browser. It's sandboxed in its own environment, and doesn't pass events back to the browser.
Conceptually, this isn't necessarily a bad thing. What happens when Flash wants to listen to a ctrl + n event? Should the browser take focus away from Flash because it uses that hotkey already? It'd be a real pain for Flash developers, that is for sure.
There have been proposals on how to fix this issue that I've seen for particular browsers, but there's no catch-all solution. For example, this solution is referenced in the bug, but it obviously won't work the way you want (since the user will have to jump through quite a few hoops to get it working).
So... no, for now. Would be really neat if this problem could be fixed.