i have heard of similar problems, search. cause of what i read a long time ago when my batt died i did not even try to recharge or jump, i just went out and bought a brand new one (interstate battery). so far so good it all works.
as for your antenna i think is just a coincidence that it doesnt work, i dont believe its related.
read this:
http://www.cardomain.com/ride/262575/34