Greybeard

Its a bit of a mixed bag - there are a number of ways of partially doing this but not really designed for your specific use case. As Jerryy says you can use the Acquire software - but that's a cumbersome way of doing it - you need a separate computer to save and restore the settings - its not possible to save them within the camera or even to an SD card. You can also use the custom settings on the Q menu but the settings you can save are limited and the whole process is confusing in the extreme.

That is misleading - the dimensions showing are for the embedded preview - not the raw image

Do you have it turned on in the menu? http://fujifilm-dsc.com/en/manual/x-t4/menu_shooting/af_mf_setting/index.html#face_eye_detection_setting

http://fujifilm-dsc.com/en/manual/x-t4/menu_shooting/af_mf_setting/index.html#pre-af

That would be the issue then http://fujifilm-dsc.com/en/manual/x-t4/taking_photo/hdr/index.html

Have you tried turning the drive dial on the top of the camera? Move it from BKT to S.

What makes you think the raw file is 4416x2944? You may be looking at the jpeg preview embedded in the RAF file.

Agreed - that sounds like the problem - I had the same thing with a mix of Prograde and Sandisk UHS-II cards - doesn't happen when one of the cards is a UHS-I.

Did you format the cards in camera? If the cards work in the Panasonic they should work in the Fuji. You really shouldn't be getting these types of problem with any modern SD card.

I don't believe you can explicitly change the number of shots buffered but (at least on the X-T3) the number of shots does seem to change based on frame rate - a lower frame rate should reduce the number of shots buffered.

You probably don't have the dial set up to change shutter speed. Press and hold the front dial and make sure one of the dials is set to change shutter speed.

HDR maybe?

1000 is a curious number - if you are using F-Log the minimum ISO is 640 - but haven't heard of any setting that restricts to 1000

https://helpx.adobe.com/uk/photoshop/using/adobe-dng-converter.html

Follow these steps: - put an empty/formatted card in the camera - go into Set Up/Save Data Set-up/Frame No. : change to RENEW - take a single picture (this will be DSCF0001), turn off the camera and remove the card - copy your original picture (DSCF1478) onto the card (You could also change the name of the DSCF0001 file in your computer if you no longer have the original DSCF1478) - put this card in the camera and turn it on - before taking any pictures change RENEW back to CONTINUOUS in the set up menu - continue taking pictures - now you are back to the original numbering