OptimizerPro, non-admin account

Hi, so I'm on the computer that I am not administrator of and I don't have privileges to install programs that goes into system/registry. I can however install browser, apps and small programs. So yesterday I've installed this little program for weather forecast which would be in my task bar, but with him a malware program entered my temporary files. Program is called OptimizerPro.
Now, my taskbar went nuts, I had over 130 processes all from that program and I couldnt delete the file, because I couldnt end the process tree. I've shut down my computer, windows ended all processes and when I went on again I've deleted the file. So I've scanned online (can't use my antivirus program, no permissions) my computer and it says Im clear.

Here is the question/s; how did this file been executed at all? I havent opened it.
Im guessing the installation triggered it.
Other question, can I trust BitDefender online scan?
Other question, should I look for some remainings of the malware software?
What should I look for?

I am already aware of I need to contact the administrator. I am asking what more can I do and check within my authorities since the program was only in the temp. files folder and couldn't (Im hoping for) access registry. Did it? Was malware successfully prevented by not having privileges?

Thanks

 

Thanks for your effort.
Cant install anything but RogueKiller and the scan is good. As said, I am not sure can I trust those scans since I dont know can those programs scan everywhere they need because of limited privileges.
Thank you for answering my specific questions, I ask for lock and deletion.

 

Ok, I see. Thanks. Well as I said only could do the RogueKiller scan and as said I already scanned with BitDefender previously.
Here is RogueKiller report
Since then My computer does act a little bit strange, some processes are high, but cant tell is that new or not haven't checked them before the incident.
I am unable to reach administrator for at least two more weeks. Should I post processes here?

 

Nope, can't finish installation. Im surprised I could install RogueKiller.

 

Yes, I dont get it. Thought it is obvious.

 

I have very strong feeling that you haven't read one letter I wrote in any of my posts. I am speechless.
Asking for deletion of my thread. Thank you.

 

If you have taken 2 minutes more than just postin your standard report and reading my initial post we wouldnt even go through all this.
Asking for deletion of my thread.