I just had my first go at the game, and I like it! At first, I was unsure about the font - I usually find 'handwritten' fonts difficult to read, but this one is legible and seems to work well with the genre. Although it is a text-based game, I like the pictures, too. The colour changes on them help with the post-apocalyptic atmosphere, and I also like the 'death screen' - it's large, sudden and red enough that you immediately know you've done something wrong. One thing I noticed when playing is that when I selected a choice, the text would often scroll down all the way to the next set of choices, meaning I had to scroll up again to read the main text for that scene. Obviously this is only a minor thing, but I was wondering if that's how it is meant to work.
As for the writing itself, I think your own label of "Survival Action Comedy" describes it very well. There seems to be just the right balance of humour and horror to make the game relatively lighthearted, but also have a sense of danger present.
In terms of the actual gameplay, it took me a little while to get into the dog's character, but once I did, following my instincts generally paid off, and the consequences of the player's actions seemed logical. In the forest area, however, where you meet an aggressive creature, I felt like the outcome seemed to be based mostly on trial and error - most of the player's decisions seemed to lead to death, and the one that led to survival didn't seem significantly different / more preferable. The frequent deaths were offset well by the 'checkpoints', though, which is a feature I particularly liked. Having to start all over again each time would have been frustrating, but with your system, each death is more of a humorous event and learning experience, and less of a serious stumbling block to playing the game.
In my playthrough, I finished the game by jumping across a ravine. The game gave me the message "Jump!" before finishing, without any further options - I guess this area is unfinished, though? In any case, I enjoyed testing the game - I like the writing style and the length of descriptions, as well as the checkpoint system, and aside from a couple of areas where the decisions seemed a little arbitrary, I don't really have many suggestions for improvement. It'll be nice to play the game when it's completely finished.