If you manage your heat and add additional stabilizer you can reheat it a lot. If you get your heat up to high and/or run out of stabilizer your plastic will turn yellow. So, just try and keep your heat under 360 and make sure you add a few drops of stabilizer and you should be in good shape.
Additional heating by itself shouldn't cause bubbles. However, stirring remelts or if condensation, humidity, etc. get in the remelts then you will have bubbles.
Jason