Will This Setup Work

So I’m fairly new to home audio, and I’ve been researching a lot recently for a new speaker setup for my room. I’m looking for a 2.1 set up and I think I have something that might work out, but I’m not sure because it looks like the amp might not have enough inputs for sub and it might not provide enough power for the satellites (although they’re supposed to be 30-100w, and the amp is only 50w for the satellites)

http://www.amazon.com/Fluance-SX6-Definition-Bookshelf-Loudspeakers/dp/B00067OS0A/ref=sr_1_2?ie=UTF8&qid=1449430418&sr=8-2&keywords=fluance+sx6-

http://www.amazon.com/Polk-Audio-10-Inch-Powered-Subwoofer/dp/B0002KVQBA/ref=sr_1_1?s=electronics&ie=UTF8&qid=1449430614&sr=1-1&keywords=subwoofer

http://www.amazon.com/Baitaihem-Channel-Subwoofer-Amplifier-Bluetooth/dp/B00Z6ID2O2

Also, would I need to get a DAC? If could anyone suggest me an all in one amp and dac for around $100 or less?

I mainly use this for music (rap, I need some good bass) and gaming.

If you see any issues with this please let me know and suggestions to improve this will be greatly appreciated.

Essentially, you don't NEED to be able to supply max power to speakers. Generally normal listening volumes don't use that many watts. That being said, 50 watts for a 30 watt minimum speaker might be pushing it.

On that note, those little amplifiers aren't ideal. Proper home theatre amps are big for a reason. You need a lot of space for a proper power supply and amp, and not simply for a lot of power output. You also want a properly designed amp that gives a clean representation of the music. That amp is $100, when a full fledged AV receiver from a top end manufacturer like Yamaha will be $250. You also get A LOT of added value for the extra $150. On one hand, it is more than double the price of that amp, but it is more a question that this amp doesn't give half the performance or features of a proper amp or receiver, let alone one from a top end brand.

As for your sub: It will hookup by running the left and right channels through it. You will connect the speakers to the subs outputs, and essentially the sub extracts the low frequencies (using the crossover dial) and then outputs the rest to the speakers.