As it says in the name, "behaveslike" means it is suspicious because it looks like know viruses, but it is most likely a false alarm.
In the same way, the second one having "packer" in its name I'd guess it is also a false alarm due to the compression used for the installer or the executable itself.
It is up to you, but this program is well know and all the other results of the page mark it safe (only 2 out of 54 gave a bad result).
But I don't want to force you to trust me over your antivirus, both me and it can be wrong (which one is it btw?)

Does this seem safe to you?

1)http://www.threatexpert.com/threats/behaveslike-win32-processhijack.html

2)http://greatis.com/cleanvirus/?s=PE%3APacker.Win32.Mian007.a%21493501+5D


Because they're both Malware from your second link.

You download it from the official site http://www.fraps.com/download.php ?
It seems safe: https://www.virustotal.com/fr/file/2680f1d376e81f77b177013da5ed70ecbbad528ca3298- 27f65987fb14fa30e07/analysis/1449239194/

Sorry, but my anti-virus program detected an infection there.

I thought it was related to the xnview problem you tried to describe previously.
So it is for making captures in Netflix? You were using the capture function of XnView? It captures fine but can't save? Or it can't even capture?
In the latter case, maybe try the program "Fraps"; maybe it will work for video overlay, it is originally more for games but it may work for video...

When I try to pause and save, I get a black screen.

If you describe clearly what's the problem I may try to help

There's still nothing working for me right now.

In the meantime, Terra posted some images from the Netflix-only sci-fi political thriller "Between," and when I asked how he captured them, he never told me a thing.

It just says what is supported, but you don't have to do any choice at that point, do you?
It is just the specifications of the program

Well, let's take a look at that;

There are files I don't need to work with and files that I do, but I don't know what Amazon and Netflix use.