I've removed your HJT log because they are not supposed to be posted outside of the malware forum - sorry.
However, I can tell you that you do have a malware problem. Its not huge & probably isn't affecting your ability to open the optical drive tray, but it should still be sorted out anyway.
I suggest therefore that you start a new topic in the Malware forum (see link below) & post you log in there.
Re. the optical drive issue - SuperSam is right, you should see a tiny hole near the eject button. Inserting a straightened paper clip into the hole (whilst the system is powered on) should eject the drive tray.
Before you try this though, it may be useful to try one other thing first...
Reboot or power on the system & attempt to eject the optical drive tray before Windows loads up. If this works OK, then some application in Windows is locking the drive (possibly CD Burning software or similar).
Let me know what happens