The JBL in the box is not a subwoofer. It is s woofer. Almost all two-way, three way, etc. speakers have a woofer to play the low frequencies and maybe some of the midrange. Two-ways, like yours, also have a tweeter to play some of the midrange and all of the high frequencies. Connect your speakers to the front speaker connections, which output all the frequencies, unless the receiver is set to "small" on the speaker setup menu.
I prefer Yamaha audio-video receivers (AVR's). Go to accessories4less.com and check out the AVR's there. I have two AVR's and have always used them in stereo (2.1) because I do not like surround sound. What I do like about them is the subwoofer outputs, the HDMI, optical, and coax inputs, and the room correction/auto EQ. If you do not have a subwoofer (from what you said you do not have one), you may just want a stereo receiver. Yamaha, Sony, Onkyo, and Sherwood make stereo receivers that are less than $200.
Your speakers may sound very good because they have good quality drivers in them. A picture of the back terminals would be very helpful. Peace and goodwill.