Oh dear, you have fallen down a big hole here. It's an easy thing to do in the wild world of computers, operating systems, applications, etc. You are not the first to do so, and you certainly won't be the last.
After all, you have bought a computer (an Arnova 10 G2 tablet) that comes with an operating system (Android 2.3.1) and all you want to do is to install and run some apps - and Google Play is the main place for that, right?
Well, not quite. For starters, the first part only tells part of the story which leads to the conclusion being completely wrong.
Firstly, Google OWN
Android and they can make whatever rules they like. Although most of Android is open-source, Google's own apps are not - and neither is the Honeycomb series (Android 3.x).
Google have stringent requirements for hardware producers to be able to register their hardware as fully compliant and able to run the Google Apps including Google Play. The Arnova 10 G2 is not compliant
and can therefore not run Google Play or be linked to Google Play. (not without performing some "Voodoo Steps", anyway
By the fact that you say that "When using Google play, it gives me two options, both Samsung", I assume you have two Samsung devices connected to your Google Play account? Any apps that you have downloaded will have been downloaded to one of these devices, not your Arnova G2.
Legitimately, you are limited to using the AppsLib store with your Arnova. You can find PhoneFlicks-Netflix Andro on AppsLib and this should do what you want.
Otoh, you could try installing something like ES File Explorer on your Samsung device and using that to back up all the apps on the samsung - this will create a bundle of .apk files - and try installing the relevant .apk on your Arnova - but there would be no guarantee that this would work. Because Google have already vetted all devices that are legitimately allowed to connect to Google Play, the store knows in advance whether the app you are looking at is compatible with the device you wish to install it on - or not.