Interestingly enough, I noticed the saloon doors are too wide for a regular two-square wide door frame, as seen in the image below by the right side embedding itself in the wall.
Yes that's true. Originally the frame was supposed to be hidden in the walls, but obviously that doesn't work as intended... that will be fixed 
that all saloon doors work well both in creative and survival for me by merely walking through them
That's indeed how they're supposed to work, simply walk through them, no need to open them manually^^
At 20:10 in the video below, looks like sometimes when you use a sledgehammer on a block sititing just above ground level, the block drops through the ground rather than rest on top
Yeah, right now the block items only spawn in the center of a block (in this case it's below ground level). This will be changed with the next update 
Growth time: well, of course, I do not mean the game should implement real growth times, with tomatoes taking 3 real time months to grow, and not even necessarily 3 game time months; I agree this would be excessive. Still, vegetables growing almost over night seems to me excessive in the other direction.
That's true. But right now a tomato plant takes 3 realtime hours until it's fully grown (actually 3 hours you have to play). I'm afraid that's too much for a causal gamer who just spends an hour in the game, if at all. On the other hand, if someone spends hundreds of hours, the growth time could even be 10x higher. I think different levels of difficulty need to be implemented. Maybe a "causal" mode with quick growth times (and easy gameplay in general, less hostile animals etc), a regular mode like the current one (although one have to keep in mind that the current gameplay is still too easy, that'll change in the future, so it's better to say "a regular mode like what the current one is supposed to be"), and maybe a "realistic" mode with much higher growth times, no easy health restore, basically a "hardcore survival". Finally everything has to be customizable, maybe someone wants hardcore survival, but quick growth times etc...
I was not able to walk through the saloon doors but I placed them just out in the open. maybe they have to be between blocks. I also was not able to remove them, and when I used the pick to destroy them it destroyed the two upright beams and left the doors floating in space. I could not remove those. Though quitting the game and reopening it cleared that.
That's interesting! This may be an indicator of why some people have issues with saloon doors (since I wasn't able to reproduce this error yet)
Maybe you could try this: Go to your game directory (steamversion: rightclick on rw in steam -> properties -> local files -> browse local files), then open the "config.properties" file with a texteditor, set "game_debug_console" to true, then save the file and start the game again. Now load a world and place a saloon door, try to walk through it, and if it doesn't work, try to remove it. Then quit the game, and go to the "Logs" folder in your game directory. There is now a log file, please upload it here in the forums (or alternatively open it with a texteditor, copy the content and paste it here or on http://pastebin.com ) 
When throwing out a stack of items from the inventory it creates a giant crate
Yeah, this is the "item representation" of an object (like furniture). We want to add at least various sized crates, since it doesn't make sense to have such a big crate for a small item like a lamp 
So if Red decides to set the growth time back to the old settings then I'm ok with it but a survival mod or customization of growth time will be needed at some point.
I guess I will not touch the growth times in the next weeks, but I fully agree that these things need to be customizable at some point.
Might need a travel backpack, or even a 'waist pouch' for these medical supplies. Horses would definitely hold these medical supplies.
Backpacks for the player are not planned at the moment unfortunately, but you will be able to craft backpacks for horses (and donkeys and camels), so they can carry some of your stuff 