Car won't start, engine doesn't turn
So I get in my Del Sol on my lunch break to go to McDonalds for some food. First time I turn the engine it sounds like it got locked up or something and stopped. I turned it again and it started right up. About 30 minutes later I get in my car to leave and it doesn't start. The engine doesn't even attempt to turn. The relay under the dash clicks and there is full power everywhere else. Ignition fuse is still good. Only thing left is the starter motor and solenoid. This is a B18C1 engine and I read in a Haynes manual that if the solenoid goes on an Integra, you have to replace the whole starter/solenoid assembly. Autozone wanted $155 for a starter ($70 rebate for returning old starter) and $250 for a solenoid switch. Is it really going to cost that much to fix my car? I haven't checked if the solenoid is getting proper voltage yet, but I would guess that it is. I will hopefully be able to check this later tonight when I can push start my car and drive it home. I just bought this car and have had it for about a week.
Also, I know this sounds stupid, but where exactly is the starter on this engine? All I could find was the alternator and a/c compressor. Is it somewhere down towards the bottom? Without a jack it's hard to see much under my car as it's been lowered a little.
Thanks for any advice anyone can offer. I would really appreciate the help.