This is simply not true, unless you mean the interest on the national debt, which we would pay no matter what kind of money we had. All earnings of the Federal Reserve above and beyond expenses go to the U.S. Treasury.
Yes, inflation is certainly a problem. However, going to a gold standard (or platinum, or silver, or gummy bears) will not eliminate inflation. We certainly had both inflation and deflation while we were still on a gold standard.The discovery of a huge gold deposit could jack up inflation while a war or coup in South Africa would bring about deflation. While our banking system can leave much to be desired -- especially during time of rampant goverment spending -- I would rather trust the value of the dollar to them than to mining companies in South Africa.
That is about as far from fact as is possible. I believe there was once interest accruing currency in this country, but the last of that sort was likely issued by the Continental Congress.
Interest is paid on debt, and currency isn't debt. It is a small fraction of the American money supply, which in its broadest measure includes Treasury Bills, Bonds, and Notes. Those are part of the National Debt, and on those we pay interest. But not on currency. Currency doesn't even get what is called a seignorage fee. Even if we did pay interest on currency, which we don't, it wouldn't add up to a fraction of what we pay on Treasury paper, which dwarfs the amount of the money supply held as cash. Currency is also dwarfed by the amount of money held as simple bank balances, bookkeeping entries.
Learning to read the Ms published weekly in Barron's and other financial journals would quickly dispel the idea that currency is a major factor in the economy. Currency is only that part of money which people want to hold for current usage- it is much smaller than what people hold as savings, which they keep as book entries- or specie if they buy bullion.
If you don't like paying interest, tell Congress to start paying down the debt. That's where interest is paid. Not on currency.