Welcome here at BleepingComputer.com. I am Black_Bird and I'll be helping you with your questions & problems.
About the logfiles: I don't see any special things in it, that would worry me. But on the other side you can't actually see in those logs what has been visited (through a browser) or which files have been transferred eventually.
Why did you allow such a connection anyway, when you don't trust the other person? It can't "just" happen, as he has to know an ID & password, which you gave him/her. Can you explain this please?
I also advice you to follow up all steps given in this topic: Preparation Guide For Use Before Using Malware Removal Tools and Requesting Help. Please post all logfiles and a detailed description of all PC problems you've eventually got in your next reply.