You can't do much to hide closed or on hold questions from the front page. This is by design.
Arqade (and the whole of Stack Exchange) is built on the premise that the content posted & presented here is community moderated: you, me and everyone else decide what is and isn't a valid question. *
For this reason, you are shown closed/on hold questions because there's a chance that you may be able to clarify them (and with more rep, actively vote on them) such that they can be reopened into productive members of the question society.
The reason that the question is showing highlighted is because you've favourited one or more tags that it uses. Again this is by design: who better to review & attempt to salvage a question then someone who plays the game & follows the tag? ^
Here's some things you could do when you see closed/on-hold questions:
* More rep, more trust, more moderation tools you have access to. Make a difference where you can and with the tools you've got.
^ Probably someone whose earned a badge for answering questions in that tag, but that's neither here nor there.