I wouldn't worry about root damage from moving the pot around. I'm in TX., and I move all of my plants around constantly in accordance with rain and heat. They do just fine.
2. Not sure what very small flowers that could be, unless you have a dwarf variety. Some inflow and flower buds are red, some are all green. It's normal. If they start to turn black, that's a rot issue.
3. You can try a grow lamp during the winter months if you are trying to keep it from going dormant. It's a chore in itself, but a grow light and heating pad under the pot is a good start. If it starts dropping it's leaves, then it's going dormant. Don't water or fertilize it while it is dormant. It won't need water again until it wakes up in the spring.
