1993 Lexus SC400 No crank, No start

[Corbin Vernon]

I bought my SC400 about 4 days ago. When I bought it, it was starting good and running pretty well for a 1993. Only 150k Miles on her. In between that time the car alarm did go off when I was trying to unlock her, so it made me think about anti-theft. So When I try to start it the light cluster turns on, just no crank, No start. at first I thought it was the starter so I tested it by jumping the starter relay, but no when I have the key in on and jump the starter relay she starts right up and runs pretty well. She is kinda sluggish. Which is a whole other thing. Just need some opinions.