johnpd "Mount Info" shows for Longitude "E 488dg 04m 59s" while for latitude shows "S 00dg 00s 00m". ... I have it set initially in Alt-Az mode pointing South (180 dg AZ) and level (0 dg ALT) which is its standard ALT/AZ parking position.
When that happened, did you try to force the Latitude and Longitude data to be uploaded to the mount from the tablet by tapping Sync To Mount in the Telescope Setup window of the ASIAIR?
The Latitude and Longitude settings in the Mount have nothing to do with the parking position.
Next time you see a wrong latitude, check the Hubo-i local Latitude and Longitude in the hand controller. It is possible that GPS has not yet acquired, or you did not go into the GPS menu of the hand controller to long press ENT button to register the GPS location to your mount's internal memory. When you use location from the Hubo-i's GPS, you should see an "A" on the hand controller's window (see documentation). (The GPS unit is not in the RST-135 mount; both WiFi and GPS radios are in the Hubo-i.)
That being said, I never myself use the RST-135's hand controller. I leave the hand controllers out of both of my two RST-135 mounts, and let the GPS in my cellular enabled iPads be the ones to set mount data. This way, there is zero conflict. Except for calibrating mount offsets and 5 star alignments for the mount to model itself (which you don't need with plate solving), the ASIAIR can do all the controls of the RST-135 without using the hand controller.
Except for indoor lab experiments (with my AZ-GTi, for example), I do not use Alt-Az mode. Both of my RST-135 mounts are set to Equatorial since I have not done any visual work in twenty years now -- I have been exclusively doing instrumentation, where Equatorial is essential.
One of my RST-135 is left outdoors semi-permanently (no grease in an RST-135 to gunk up) on a Mortar tri-pier (reduces the work to polar align nightly), and the second mount is on top of a Gitzo carbon fiber tripod, and primarily used as a standby for the first mount.
When set to Equatorial mode, the RST-135 has worked flawlessly with ASIAIR since ASIAIR v1.4.
ASIAIR v1.3 was a disaster until RainbowAstro loaned an RST-150h to ZWO (and I believe ZWO still has the 150h in their office). But, be sure to use a cable with a high quality USB Type B connector; I also use copious amounts of Gaffer tape to solidly hold the connector to the body of the RST-135 itself and also to strain relive the cable. If you find flakey mount readings, or the mount disconnects when slewing (especially during a Meridian flip or Homing), that connector is the first place to check.
By the way, displaying angles above 360º is a common bug with the ASIAIR. the 488º East is simply 128º W. They simply did not account for the modulo 360 in many places. You will get used to it. It has been mentioned uncountable times on this forum and ZWO has ignored it, so I don't expect they will ever fix it.
Chen