I would currently say yes to the third for sure, possibly to the second, and probably no to the first. I have to run, so I will explain my reasoning a little later. I will also try to dig up any studies done on this matter so we're not talking out of our ass.
Female, 5'3", 49, Starting weight: 163lbs. Current weight: 135 (more or less).
Starting squat: 45lbs. Current squat: 160 x 2