KA;
Your configuration is very standard and should allow the AIP-SSM to successfully inspect traffic traversing the ASA.
I am not sure what you are asking when you say,"it will show all critical logs." IPS Manager Express (IME) is designed to retrieve all signature related (alert) events from Cisco IPS sensors (unless the managed sensor is configured to exclude specific severity levels). IME will not retrieve system level (error) events; this is not currently possible.
In regard to your licensing issue, you will need to have the AIP-SSM's serial number added to a valid support contract with signature update support. This will allow you to apply an updated license which will in turn allow you to update the signatures. If the AIP-SSM is currently on a valid support contract, you can attempt to retrieve an updated license for the sensor via IME. Navigate to the following:
Configuration>Sensor Management>LIcensing
Choose "Cisco.com" for the "Update From:" option and then click "Update License".
Scott