you should be able to solder the antenna back on....it's worth a try.....if it doesn't work you'll have to send it in....if it does work problem solved......just remember that a good solder joint starts with a good mechanical joint.......there is 2 ways I'd solder this together....1 strip the wire back, open the strains of the wire to make a fan shape. Do both ends, now interlace the the two ends similar to interlacing your fingers....twist together and solder....cover with heat shrink......2. strip both ends and tin the wires(solder the end of the wire) now make a hook...hook together, solder and cover with heat shrink......
Good Luck I hope it works for you