1) yes. correct
2) yes. correct
3) Can not deduct the mileage The temporary job must be in the same trade or business in order to deduct the mileage and you state it is in an unrelated industry. Look at the explanation just below the graphic:
Temporary work location. If you have one or more regular work locations away from your home and you commute to a temporary work location in the same trade or business, you can deduct the expenses of the daily round-trip transportation between your home and the temporary location, regardless of distance.
If your employment at a work location is realistically expected to last (and does in fact last) for 1 year or less, the employment is temporary unless there are facts and circumstances that would indicate otherwise.
