Greybeard

I don't really see what you are trying to show. If the screen goes to slow refresh rate make sure you have Performance set to Boost under the Power Management menu.

According to the specs the time limits are 10 minutes in 4K and 15 minutes in HD. After it reaches the limit the camera stops recording.

Those cards are not fast enough - at a minimum you will need a UHS class 3 card (those cards are class 1). Its worth getting something like the SanDisk Extreme Pro UHS-I cards.

I think you may have looked at a review for a different camera. The X-T30 has the F-Log on/off toggle. The X-T3 supports F-Log and HLG and has the option you describe - just set SD card and/or HDMI to F-Log and you are all set.

Looks like a nice piece of work (although I haven't had the same problem)

Which camera?

I've not tried it - but see this from Fuji web site: http://digital-cameras.support.fujifilm.com/app/answers/detail/a_id/20151/c/1548

If it was my camera I would take it back (or at the least call Fuji support). It sounds as though you have partially updated the firmware but its tough to diagnose remotely.

Have you tried removing and replacing the battery (with the switch set to off)? And then when you turn on what happens?

Need some more information here - where are you downloading the images? What software are you using to view the thumbnails?

A couple of ideas - do you have the camera switched to full auto mode? Or maybe face detection on? Maybe post a link to an example image straight out of the camera so that we can see your settings.

I think you would have been happy with either camera (with a lightweight handgrip) - if you are going out in snowy weather the X-T3 (with appropriate lens) is better weather sealed. I solved the Q button problem on my X-T30 by using a grip that prevented an accidental press (and changing its function to AF-ON).

There are a lot of things that don't work in full Auto mode - I'd like the option to create raw files

I use the other dial for aperture - frequently using adapted lenses and lenses without aperture ring it gives me a consistent interface.

No - you don't need to push the dial first and yes - you can scroll through all fixed and auto ISO settings with the same dial (the three Auto ISO settings are at the end after the highest fixed ISO).

I use the rear dial to change ISO on both the X-T3 and X-T30 - it keeps the interface the same and is actually easier to use when shooting than the top dial.

I think it depends on your location - in the UK there is a fixed price depending on the camera model

Yes - its OK - you're hearing the linear motor mechanism - look on the Fuji site and you'll see the way its designed

I'm assuming it takes pictures OK? And you can display them from the card on the rear screen and EVF? If so I'm assuming its within warranty and needs to go back for repair.

Are you sure? It shows a similar screen in playback with a thumbnail in that location.

I don't have the X-H1 but assuming its the same as the X-T2/3 you cycle through the screens pressing disp/back. Its not available with the X-T30

That's how it looks on my camera - what were you expecting to see?

It is almost certainly neither a slow card nor turning off the camera too quickly. I don't think you can attach full size SOOC example files to this forum - but maybe a link to a dropbox example would be helpful.

Probably this - or maybe touch focus You might try turning off touch focus and face detection - then set focus to single point and touch the joystick once to centre the focus point.

http://fujifilm-dsc.com/en/manual/x-t30/menu_shooting/image_quality_setting/index.html#lens_modulation_optimizer