The speakers are a real weak point with what you listed. The amplifier seems fine, but those speakers are lousy. The Monoprice speakers are very good quality for the money and are hard to beat with other in-wall/ceiling speakers without spending a lot more money.
To connect the speakers to the amplifier, you would take two speakers and connect them to one amplifier channel. Basically you have to figure out how you want to divide the entire space up into different zones of audio. The meeting room, the sleeping area, the garage, etc. Once you know where all the speakers are going, you then figure out which zones to land where on the amplifier.
You would take one speaker wire (four conductor) to two speakers typically, and those would be a left/right pair and land on two different channels of the amplifier. It doesn't matter much whether they land on the same or different inputs on the amplifier as long as you don't put more than two speakers per channel on the amplifier. With a volume control between the speakers and the amplifier to control volume.
I would think you may be okay to run 4 speakers off of a single volume control, so this will affect how you wire things if there are 4 speakers in one space you want to control volume on together, then you can put those 4 speakers (4 wire pairs) on one volume control, then take two wire pairs back to two channels on the amplifier just fine. It likely will present as a 4 ohm load at the amp, though I've gotta say I'm not 100% certain of that.