While I do not see any issues with paradoxes with this "type" of time-travelling, there are some odd things that I'd question.
First of all, your example of losing your wallet. While it's great to "re-live" your past and remembering that you put it in your couch, how would going back help if you were not conscious that you lost your wallet, by dropping it for example? Your original body would not realize that you dropped it, so even if you go back a second time, you'd still not find it.
That goes the same for a pickpocketer. How would you know if someone is doing that to you when you go back? Does your consciousness have an out-of-the-body experience and see what you couldn't see before? Probably not, based on your explanation of doing all the actions and experiencing everything all over again. So, if you get pickpocketed without realizing it, you wouldn't find out even if you go back.
Then, there's things like sleep. 283
Will your consciousness perceive your original body sleeping? Or will it fall asleep the same as you did before? Would you remember or experience past dreams? Would you still retain information about dreams when you wake up? Will your consciousness stay "awake" during sleep instead? If I relive the moment my house got robbed while I was asleep, would I be able to hear the robbers even though I was asleep before? There are a lot of questions to be answered here..
If your consciousness relives everything, does that include things that do affect consciousness like drinking alcohol? What if you relive the moment wherein you were drunk? Will the consciousness that went back in the past also become drunk? Wouldn't that mean that you won't be able to retain information during this state because the consciousness that went back is also drunk?
And finally, I'd worry about mental health. What if someone relives a very emotional moment in their life? The feeling of success, joy of being accepted by your partner, winning, pleasure, getting "high", etc. What if someone keeps reliving those moments everyday? If you go back to the present, you'd lose those feelings, and might want to do that all over again. That could stagnate someone or even depress them, as they try to compare their past from the present.
While these questions do not refer to having a paradox, it's curious how would this system work for an everyday person. 620