“Trust no one” is not what the newer or the older version of the pamphlet suggests, rather it quite correctly points out that during wartime the amount of misinformation can be expected to be massive, so you should be extra vigilant in verifying the source of the information. Trusting “no one” would imply a complete free-for-all which is hardly conducive to an effective defensive strategy.
The Computer wants you to be happy. If you are not happy, you may be used as reactor shielding. The Computer is crazy. The Computer is happy. The Computer will help you become happy. This will drive you crazy.