The first :

If I use W(the second edtion),when the runner encounter "MAXTIX ANALZER",may I use the W's recurring credit on ?

The second:

When the corporate player use "OVERSIGHT AI" to rez a ICE such as "TYRANT",and not advance the ICE.When runner encounter the TYRANT,should the ICE be trashed?

Thanks

1) No, you may not.

2) No, Tyrant will not be trashed. The reasoning for this will be clarified in the next update to the FAQ.