well.. if you havent figured it out yet - take a mulitmeter and check all the wires... as for the flasher - the stock flasher relay wont always work w/led tailights - they simply do not pull enuff current to make it work... you need a hd relay (one that will work regardless if the bulbs do or not - like the hazard relay...) but bottom line is if it worked b/4 the swap it'll work after as long as all the connections are correct - put a meter on the wires and you'll get it done and done right....
let us know...
edit...
just re-read your post and you said .... "Turn signals: not working correctly, both rear lights come on the brightest setting with either the left or right turn signal activated but do not flash, at the front of the jeep when left signal is on left flasher is solid, when right is on right flasher is solid." the front signals being solid and not flashing tells me that the relay is the culprit - the led's are not like a regular bulb - they dont pull enuff current to heat the relay enuff to make it flash (thats how a flasher relay works - the current heats up the contact bar= like a cig. lighter heats up but not as extreme= and when it gets hot it flexes away from the contact, breaking the circuit, cooling off, straightens up and contacts again, heating up, flexing away, cooling off, straightens up, connects again... etc... etc... hence the blink blink blink... not enuff current, not enuff heat and the contact never breaks - hence the constant on... just like a lot of cars pulling trailers w/the extra lights will blink reaaaaaly fast... check the relay and your grounds...
you'll get it...