I had a hard time figuring out how to actually get any information. My initial assumption was that the suitors moved every week, so I'd have to pick one person to write only, and I was confused when I'd only get location information and nothing on his traits. I had to read other people's comments to realize that you can write everyone in a row without the suitor moving 4 times and being somewhere random. Because of that, I restarted multiple times when I thought I'd lost him and would have to keep making random guesses in the hopes that I'd get lucky and guess somewhere the singular week he was there. Once I figured more out, I was able to get rid of one suitor, but it took a while just to understand the basic premise.
If you were to keep working on this, I'd suggest adding an in-game notepad, almost like the game Clue/Cluedo, where the player can keep track of traits and location info. Just a simple series of checkboxes would do for a lot of it, and maybe some way to note down crest and alliance info. So you can figure out oh, he must be going to X kingdom next, and a letter said that he was going somewhere with Y on the crest and in Z alliance, so I can mark down X - crest has Y, part of Z. It'd also be really nice to be able to group letters by location, so you're not accidentally looking at old clues to find out the next destination. In general, I'm of the opinion that players shouldn't need to take notes outside of the game, although that's more of a personal preference.
As for glitches, I found I could still move around freely while clues were open. Also, the whole time I was playing there was a weird repetitive noise almost like flapping? It was loudest at the start and when the menu was open, but was still audible for the entire game and also seemed to change in speed/frequency with different screens and actions as well. It made it hard for me to hear the music.
I did enjoy the art, and it's a really good concept! Jams are so time-constrained it's hard to reach perfection, but I'd certainly check out an updated version with clearer controls!