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There is no federal tax on a Tax Exempt bond fund. There is state tax unless the fund or a portion of the fund is also exempt in your resident state.
You should not need to figure Qualified Dividends. It should show on your 1099DIV form. If the box is blank, then you have no qualified dividends.
Qualified Dividends is a subset of total dividends.
In other words Box 1b is a portion of 1a.
Private Activity Bonds (PABs in Box 11) is only used for computing the Alternative Minimum Tax (AMT) on Form 6251
If you are not subject to AMT, then you will not use this number.