It certainly appears that you have both scouting and the coaching system enabled.
Do you know how to go to your team's page? Is your team the Mets?
Basically most of the important things you need will be in the drop down menus at the top of the page there. (Though that isn't the only way to access them, but let's start there.)
So if you look at the drop down menu for the Mets (if that is your team- otherwise pick the team that is yours if you want to look at your team's information) you will have many options of things you can navigate to and look at. Given that you have asked about scouting and the coaching system, you might want to select Front Office and then click on the personnel tab and you can see who your coaches and other personnel like scouting director and team trainer are.
The short answer for how to change the date is to move forward to the next day. I don't mean that to be flippant. If you select the Play drop down menu in the top right corner of the screen there the very first option will be Finish Today. If you choose that then the calendar moves to the next day. And you might get messages about things that have occurred on the day just finished. Though during the off season there can be days with very little action. You just might want to decide first though whether there is anything you want to or should do on the current day before moving forward. One way to get some clues about that is choosing the drop down menu under your name up there (it looks like you have some mail to read, and it might have some clues for you as to what you should be doing). So you might want access that drop down and go to your office and see what information is there. That's also a good place to access things like making a trade or signing a free agent. (There are options that are simply named Make a Trade and Sign a Free Agent.) As you play the game more you will see that, as with most things, this isn't the only way to access these actions but it is a good place to start.
There is also that big green Continue button that you might want to push as it offers the promise of an important message for you to read. (In this case, I'm quite sure that the continue button is going to take you to your office and show you those unread emails. Eventually you can decide what you want that continue button to do.)
I apologize if I am giving you information that you already know but it does sound like when you say you are flummoxed you mean that you really just don't even know how to move forward, not that you aren't sure what you should do, but that you don't know how to do it. Is that correct?
Or am I misunderstanding the situation?
At this point it really does sound like the best place to start is by exploring some of the tabs and drop down menus in the game and seeing what all is there. Maybe moving forward on the calendar isn't the top priority until you have a bit more understanding of the basic views of your baseball universe you have before you. And, again, watch some YouTube videos- I really think learning by watching might help a lot.