There is no way to see your own review _audit_ history, although you can see your review history from your user profile under activity > reviews. 

Moderators can see whether a specific user is currently banned from reviewing or not, and can see recently passed and failed review audits. Review audit history is only available for the past 30 days though and only provides a general overview. 

There is no specific "score" with review audits, only a limit to how many you can fail in a specific time period. Review bans are automatically lifted after a certain time, and review audits are only considered over a 30 day window. The exact number of failures that lead to a temporary ban isn't publicly published. 

As long as you're mostly passing audits, and stopping to think about why you might've failed if you do fail an audit, you're fine. There's no permanent score or record on your profile.

For slightly more details, see the FAQ on Meta Stack Overflow about review audits: 

**http://meta.stackoverflow.com/questions/157121/what-are-review-tests-audits-and-how-do-they-work**