When I turn the key - occasionally there is no noise, and no starting
 

2002 Lexus IS300, 3.0L 6 Cylinder, wyndoman
I wanted to know if it's the solinoid instead of the entire starter and if it's substantially cheaper to just replace the solinoid as when it does connect, sometimes 4 or 5 attempts at turning the key, the car starts fine. If I want to solve it by myself , does the tool Autel MaxiDAS® DS708 can help me to read fault codes?