McGrath, in West Oz, "sarnie" seemed to become popular from my teens onwards (mid 60's). This may have reflected the influx of British migrants to our Communities - who certainly improved the music scene, to say the least!!Though, as I've only had long-term relationships with Pommies - and not Aussies (despite being a fourth-generation West Aussie!) - perhaps I'm not qualified to comment further???!!! (My partner is from "Buttie Country" - a Scouser!!)
Regarding "round" - that goes for drinks here in Oz too, GUEST,Just Amy.
Cheers! R-J PS Steve, I LOVE Cucumber sandwiches (when they're made "just right")!!