I will say now something that MAY sound strange for some users, but anyway, please don't panic (as there is nothing to panic about).
Are you sure you downloaded a legitimate avast installation? Are you sure the setup and the installation wasn't (or got) corrupted?
Please confirm / double check, which exact edition of avast (Free / Pro / AIS) and which exact version are you using? (The current latest stable is v6.0.1367.)
The reason I have my doubts about the installation package (or the installation result) is because the content of your screenshots are not EXACTLY what are supposed to be. In the first one, avast should be there, listed, active and running. In the second one, "Avast software" should clearly be listed as manufacturer and the status should be "Running".
If the only strange thing would be the status, I would suspect of some kind of incompatibility or some other problem. But since other very typical data is also failing in some way or another, I can't just simply skip over my doubts.
So, if you can double check the exact data of OS (including version, 32/64bits, SP) and exact avast edition and version, it may help us find why those differences are there.
Have you downloaded the latest stable version of avast from the original website?
Please report back.