With regard to the initial question, our local instructions ask pilots to make first call with the information letter and QNH thereafter it is only mentioned again if there is a change
As long as we're mentioning this, I wish there would be some consistency in ATIS broadcasts, sometimes between checking the ATIS initially and checking in with ATC, there will be a change, problem is, at some locations you have to listen for too long to get the relevant information, taxiway closures, how to make a read back to clearance delivery and other useless items, meanwhile, only one pilot is in the very busy loop.