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MY BEST GUESS FROM WHAT YOU HAVE SAID IS THAT THE BOX WAS TO SMALL. BUT YOU ARE OVERPOWERING THE SUB RUNNING IT AT 2 OHMS ON A 750 WATT AMP WITH A SUB THAT IS ONLY RATED FOR 600. NO MATTER HOW FAR YOU TURN YOUR SETTINGS DOWN, YOUR STILL PUSHING TO MUCH POWER FOR THE SUB TO HANDLE. IT IS ONLY RATED 600 WATTS FOR A REASON. ESPECIALLY IF YOU LISTEN TO MUSIC THAT HAS A REAL LOW END AND THEN A HARD HIT. REMEMBER A HARD HIT WILL SPIKE YOUR AMPS OUTPUT THEREFORE PUSHING MORE WATTAGE TO THE SUB.
Is the sub a single voice coil or dual???? If its a single, just bridge sub to amp....(+ of one channel and the - of the other) amp should show where to bridge with a diagram near speaker outs. If its a dual voice coil, then run one voice coil to the left channel and one voice coil to the right.
if you bought that equipment today then your answer is yes your amp will power the subs but if i was you and you want more bass I would go with a two channel amp or even a mono block amp that will be 1 ohm stable and if you decide to do that you might want to get subs that are dual 4 ohm voice coils and run them in series that will get you 1 ohm of resistance
The Kicker L7 has an RMS power range of from 50-750 watts and a maximum power handling capability of 1,500 watts so your Sony amp will power it OK. A more powerful monoblock like the Alpine MRP-M1000 or the Kicker 08ZX750.1 would provide even more power and could operate safely at 2ohms.
You have the voice coils wired properly for the Sony amp. It's OK to have the sub impedance higher, but you definitely do not want it lower than the 4ohms the amp is rated at in bridged mode.
If you have the Kicker model number 06CVX122, with dual 2ohm voice coils, they can be connected to a mono amp at 2ohms. First jumper the voice coils in series, the dotted positive (+) to the undotted negative (-) (or vice versa). Each sub is now 4ohms. Then wire both of the remaining positives and negatives together on the amp terminals (in parallel). The amp sees a 2ohm load. Here's the diagram:
If you have the Kicker model number 06CVX124 with dual 4ohm voice coils, they cannot be wired to present a 2ohm load. They can only be wired as a 1ohm load (too low for the amp) or as a 4ohm load (at reduced power). Here is the diagram of the 4ohm wiring: