Usability suggestion

I really like being able to rename tabs on Groupy, which typically makes it easier to keep my windows organized for my purposes. However, three minor changes would make this feature even better:

1. When renaming a tab, the input box should automatically start with the entire current name selected, so that typing overwrites it. This behavior is typical with renaming situations, but isn't currently the case with Groupy.
2. It'd be great if Saved Groups would remember how you had renamed the tabs when reopening them.
3. If possible, it'd be nice if there could be an option to use F2 to rename a tab after clicking directly on the tab name (so it wouldn't override the use of F2 in the app itself).

Thanks for a great product.