It'll work fine. Don't expect concert quality out of your new system with that budget, but it should be an improvement over stock. A common critique of infinity is that they lack bass and midrange output. In my experience, even an amp can't fix that. The speakers don't care what brand the head unit is. The head unit doesn't care what brand the speakers are. It's all electrons. You'll be fine.
If you're not satisfied, and want to get into car audio more, this website tends to be a bit more advanced. You might want to start at a place like caraudio.com until you've gotten your feet wet with the vocabulary. Folks here are quite helpful, but just browsing the topics you might be pretty lost.
If you're not satisfied, and want to get into car audio more, this website tends to be a bit more advanced. You might want to start at a place like caraudio.com until you've gotten your feet wet with the vocabulary. Folks here are quite helpful, but just browsing the topics you might be pretty lost.