I've never seen Uru (in any form) start by itself. The thing about computers is that (virtually) nothing happens "just by chance" - there's always some systematic reason behind it, so in normal circumstances a program can't just start by itself - something else must be doing it, and most obvious suspect would be a virus of some sort, especially given the apparent correlation with trojan detections. Problem is that a lot of malware these days have the ability to diguise themselves and sneak past many otherwise reliable anti-virus software, and then install root-kit type viruses that defend themselves vigorously against detection and removal.

The other possibility is corruption of your system registry, which can cause all sorts of weird behaviour, but can be very difficult to repair, short of re-installing Windows from scratch .

What I'd suggest is to try a malware scan first (given the trojan reports, this would seem like a good idea anyway):

Preferred plan: If you've got another PC you can use, download and install Malwarebytes malware remover from http://www.malwarebytes.org/ - just take the free download. Don't worry too much about updating it at this point. Once installed, look in the folder where it was installed to and locate the "Chameleon" folder. Copy this to a USB stick or CD and take it to PC to be checked. Copy the folder onto the desk top.

Less preferred plan: Download and install Malwarebytes directly on the destination PC. Any malware might try to prevent you running the setup program, in which case rename it to something random like "anyoldthing.exe" and retry. Once it's installed, let it try to update. Now, find the Chameleon folder.

Next stage (common to both above options): Open the Chameleon folder and double click on "svchost.exe" - this will open a DOS window. Press any key to continue and then just follow the on screen instructions: It'll try to download and install Malwarebytes (if it isn't already there) and update it to the latest version (I think it uses a non standard protocol to work round blocking that some viruses may use to try to protect themselves).It will then run a scan of memory for any bad processes and shut them down (this can take a while). After that it'll scan the disk to detect malicious files and registry entries (this will also take a while). When it's done, it'll list what it has found, and usually you just need to select the option to "remove all". You'll probably need to re-boot (do it as soon as you're prompted to minimise any re-infection risk). After the reboot, run Malwarebytes again (normally this time, from the desktop icon) and select a "quick scan" to confirm that everything is gone. "Quick scan" is bit of a misnomer - expect to be waiting about 20 minutes or more depending on disk size.

That's UruExplorer.exe running without first running UruLauncher.exe, which isn't supposed to happen (at least not with a "regular" client).