John paid all but $$830$ of his May credit card bill for the billing period that ended on June $9.$ He then made a purchase of $$255\mathrm{.}00$ on June $13,$ another

of $$74\mathrm{.}00$ on June $19,$ and a third, of $$124\mathrm{.}50,$ on July $6.$ He also made a payment of $$491$ on June $29.$

What will John's average daily balance be for the May billing period that ends on June $9?$

If the APR on the card is $22\%,$ what will John's finance charge be for this billing period?