Yeah, tough one now. You may want to unsolder them again and clean them up as best as you can. Then try to check for shorts on both, the plugs on the cables and the connectors on the WiFi board (as probably some solder went underneath as well). Then you could check both coax cables for continuity of the *inner* cable which carries the signal, but you need to find the other ends first which are often going all the way into the display panel - can be difficult. In the worst case as the last resort you could try to remove the connectors from the board and solder 2 small, isolated cables (ideal length would be either 9cm, 15cm or 21cm - equal to 3/4, 5/4 and 7/4 lambda) to the signal pins under the connectors, or you could scratch off the coating from the 2 tracks leading away from both connectors and solder your 2 wires there. As I said, this would be the most ugly solution as a last resort.
It should also be possible to operate the WiFi with only the MAIN antenna connected, so if this connector on the board still works you can try to only connect the plug with the white cable to the left input (1 MAIN) - if this cable is OK. Your connection wouldn't be as stable as before though (no antenna-diversity) as it would be more dependent on your laptop's physical position in the room, but the signal should be back to normal in a 'good spot' in the room. RF is tricky and we have to consider reflexions in the room/building etc. with different signal propagation delays, interfering with each other. But basically it should work with only the main antenna connected.
Hope this gives you some clues.