No you will be charged again.

You need to purchase again on your iPhone but it will tell you that you already paid and so you can activate again for free. Make sure to use the same iTunes account though. Unfortunately Apple doesn't allow to change the name of an application afterwards that's why the app still have the "Lite...

You can create a rule that will automatically make a transfer to your cash account.

You can scroll below the pie charts to see the cash flow.

Ascending : Descending :

OK great !

No there is no such list, and this is the only known bug of current version.

Thanks for your help, changing fields and editing budgets should be much faster in next update. Loading and saving require a lot more work so I plan to improve this but not in the next update.

Will be fixed in next update.