Oops, I meant OW flights for the first sectors. Let me rephrase the two scenarios:
* If I fly CX in from HKG to SFO (arriving same day) and take a flight on the same day from SJC to LAS on SWA, I can still use the Admiral Club in SJC.
* If I fly AA from SJC to LAX and, say, UA to somewhere else, I can use lounges in both SJC and LAX. (By the way, I have not tried the Flagship Lounge in LAX. I would like to try out if I can.)

Am I correct? Thanks.