Temp needs to be above freezing long enough for all pipes to thaw. Cutting the water on with some frozen only shows up by a faucet not working or the HWH not filling up along with water running in places that it shouldn't be.
Don't cut the hwh on until you know that it has water in it, result burned out element. If it wasn't drained the tank could be burst.
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A burst pipe will cause no problem until you turn the water on. If one is broken and you have it repaired now, the same thing may happen in February. If he isn't coming home soon I would wait until closer to his return.
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If you cut all faucets off in the house and give it a few minutes for the pressure to equalize the meter should stop moving, be in there listening and looking around. In cabinets under sinks and hot water closet etc.
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Does he have any auxiliary lines in the attic? If so they need to be observed when the water is turned on or the ceilings could be damaged quickly.
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Works best as a two person job.
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More and better advice is surely on the way. ear