I agree with the battery cable idea. Always start with the least expensive stuff first. I have had problems before with remanufactured alternator. This last time I went with the new one and havent had any trouble for 2 yrs. It was worth the $$ and no hassle with taking it back to the parts store and being stranded. An inexpensive battery charger is a handy tool also, I was able to keep the same battery through 2 reman alts by charging it myself, again less hassle. Hope you don't have a wiring problem, those can be a bitch to find.
88 SSE, new rack and pinion, alt, ps pump, water pump, ac system, factory am-fm radio, 180 stat,chrome K&N intake,Belden 8mm wires, NGK plugs, Delco ignition swap, new coil springs front and back, Gabriel Heavy duty shocks front and back. Strut tower brace and new sway bar bushings.New ceramic pads and shoes. CAI w/Heat shield, tranny cooler, performance tranny rebuild w/HD TC at 500 above stock stall and Trick Shift. 88 SSE, she'* a beast in the makin'!!