Whoops, sorry for the delayed response! To view the history, just use the "scrolling" function on your mouse. ^^
The way the routes work is as follows: At a certain point in the game (almost right after the demo ends, actually), you'll be prompted to spend time with one of the available love interests. You can then have an encounter with the guy you choose. I call this the "Getting to Know You" stage and it'll cover about 6 weeks of in-game time. You are encouraged to spend you off-hours getting to know the suitors that interest you the most, but be careful not to spread yourself too thin! With only one encounter available per week, you have to spend enough time with the love interest of your choice in order to "lock" yourself into that route for the remainder of the game. You'll know when you've spent enough time with them because their central conflict will be introduced.
If that sounds complicated, it's because I wanted the romance system to feel a little more realistic for the setting... Choosing who to pursue romantically is a big decision for anyone, let alone the Crown Princess... By rights you SHOULD have multiple men courting you, at least in the beginning. ;)
Hope that answers your questions, my dear! Thanks so much for the comments!
Edit: I think I'll be adding this info to the FAQ, as it's pretty important! I've also edited some to remove spoilers, but if you WANT spoilers, feel free to message me privately on the social media outlet of your choice.