You have all the powers that Putin currently does. Everyone completely loyal to Putin is now loyal to you. Enemies of Putin are enemies of you. Putin no longer exists, and there has been a clean and absolute transfer of power to you. The economic, military, social and political situations are the same as they now are. You are not inhabiting Putin’s body, you are just you. You’re magically transferred to the Kremlin. The world at large doesn’t know your past life, to them you have magically appeared as the new ruler. To everyone who knew you before, you just vanished.
Edit: no one knows your past life YET. They’ll quickly figure it out. You will not lose any support based on your actions in your past life.
How do you avoid a coup by the oligarchs?
I have all Putin’s powers, right? He seems very capable of having anyone bothering him arrested and tried for something at the least. I think I would arrest a handful of the most prominent complainers and show the rest their option B.
True. You also have control of the state media.
Would you be worried about other nations trying to take advantage of your perceived weakness?
If you can successfully build strong relationship in international community…
I would listen to the international experts that i gathered and generally follow their recommendations on how to do that