There were three standards of drive sprocket. The photos show the left one to be the second type, with spokes centred between the sprocket teeth but without the later star shaped locking plate. Since the second type was introduced in Apr 43 from Fgstl Nr 220, the sprocket was almost certainly changed post production. As you say, there are no photos of the right side, so it's of course feasible by Apr 45 for the sprocket on that side to be of any of the three patterns. On balance, I think it most likely that both sprockets were changed at the same time.
There aren't any known photos of the rear. The external exhaust array on the Tiger wasn't intended to reduce the noise signature as much as reduce the thermal signature. The steel guards fitted from Jan 43 were intended to reduce the visibility of the exhausts at night, by shielding the glowing pipes and diffusing the exhaust plumes after complaints from operational crews. You're right to say that the guards can't be seen on the side photos and it's pretty likely that they'd been removed. The flame traps wouldn't be visible from the angles of the photos and there would be no reason to remove them. On balance, I'd suggest this is pretty much what you'd expect to see:
You've noted that F01 was probably one of the tanks from Putlos and was therefore probably fitted with the gas installation. It might be worth researching that to see what was involved in removing it and to see what build standard the other tanks had. I know of one photo of a Putlos Tiger with gas but not if there are many others.
A final thought. One way of deciding what you can and can't see on the photos is to build a 1/35th model and orientate it to the aspects seen in the photos of F01. That might help you decide. That and relying on the spreadsheet which I developed with David Byrden.
Good luck, it'll be a unique and interesting build.
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