1. I wouldn't say that you are screwed. One issue you might have is while resurfacing your water will flow over the boards in the deep end but stay on the rink in the shallow end. This may lead to an unlevel surface. However, I suggest skating on the rink and scraping it with a good shovel. Don't resurface it as much or just enough to cover the skate marks.
2. It all depends on how warm it actually gets, whether your rink is in shade or direct sunlight and how thick your ice is. My ice stayed completely solid over the week-long Christmas thaw and only took one day of frigid temperatures to get it back skateable. The great thing about your forecast is the subzero temperatures at night. You might be able to even skate in the mornings and stay off it in the afternoons. An evening skate could be squeezed in as well if it gets cold enough after the sun goes down.
Making Backyard Rinks from 1999-2015
Twitter: @kevmac_5 or @macisaac_odr
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