Answer:
1. In some cases yes and in others... YES 2. the Red Army wanted revenge on the royal family for how they made the common peoples lives a living h***. 3. Yes, they could have imprisoned them, exiled them, or just removed them from power, but the Red Army wanted to show all the people of Russia that the Red Army's will was stronger then that of those White Army Nationalists.
Explanation:
Because of the murder of the royal family, the White Army had almost no more will to fight, they saw their Czar as a true leader no matter what. Without the Czar, the White Army soon surrendered and the rise of Red Army's ideals including communism now had no more roadblocks to overcome. The path to win over the Kremlin was clear and with nothing left to stop the communism wildfire, the Reds assumed complete control over all of Russia. Soon after Joseph Stalin began his rise to power by being a powerful leader within the red Army's ranks and he ascended to the figure head within the Russian government.
Hope this helps your homework, if you have any WWII questions, I have been studying WWII for the past 11 years, feel free to message me.