Hi E, the situation with the LTPWS is separate from the issue with your secondaries being locked out.
The check out the LTPWS I suggest going over to the NetReg site and click the "Maintenance" tab and then click the "How To" tab and it's separated by group headings.
The DTC 34 is a MAP code...at least it is on a 90 ZR-1, so I'm not sure if the DTC's have differing definitions for the 405 cars vs the 375 cars? I do know this: secondary lock out on a 90 is only if the DTC is an engine management system/component issue. I would say to run down the DTC number in the FSM.
Again, the only thing I do not know for sure is if the DTC definitions are the same for the 405 cars as the 375 cars. I may be barking up the wrong tree here ( what else is new! ) but if I'm not then your DTC could be a MAP issue.
In the 90 FSM: DTC34 = signal voltage low/high vacuum on MAP. Possible causes: hose is soft & sucks shut under heavy throttle. Oil flooding the hose or sensor. MAP sensor failure. See Pg A-54 in section 6E

Tom