We've only had our tri-axle for about a year (Memorial Day Weekend, 2003). It's nice to see other tri-axle folks out there! Feel free to compare notes any time you need to!
According to the Airstream weights chart, your 34' (either center or rear bath) has a dry weight (without options) of 6950 and a hitch weight of 700lbs. The hitchball height is 18.75".
I don't know what the other capacities are for sure on an '83. Hopefully one of the other members can give you exact figures.
Enjoy your coach! You've got the best!
AIR 2053 Current: 2006 Born Free 32 RQ Kodiak Chassis, & 1995 Coachmen B-van
Former Airstreams: 1953 Flying Cloud, 1957 Overlander, 1961 Bambi, 1970 Safari Special, 1978 Argosy Minuet, 1985 325 Moho, 1994 Limited 34' Two-door, 1994 B190 "B-Van"