ok, I have barely started looking, but I can see that the area where you can't click on the "BookMatchPage" is exactly where the "Select" button is on the window that pops up. So, what is happening is that the select button believes that you are clicking it at the same time you are trying to open the window, so it closes it again before you even see it.
buttons can be clicked on even if they are invisible... but in this case, it is moving the sprite into position (in event 4), and then when it executes event 6, the condition is true so it makes the SelectWrestlerPopup invisible again.
move event 6 up above event 4, or put a "Wait 0 Seconds" action before you call the popup on event 4.
(it is the same problem on the other page)
EDIT: the "Wait 0 Seconds" action tells Construct to execute the actions after the wait at the end of the current tick. Doing this will have event 6 checked before the popup gets moved onto the screen by the delayed event 4.
EDIT2: I can't make changes to your file since it exceeds the free limits (I use C2). But I am guessing you will have the reverse problem if you move event 6 up above event 4. The Wait 0 Seconds should work, but be aware that when you click the Select button, it will also register the click on the RosterImage2 (although that is immediately reversed by event 6).
in this case it shouldn't cause trouble, but in other cases it would if clicking on a button made changes you didn't intend to happen... so, you need to think about making buttons active and inactive. There are numerous ways to do that: put the code that gets executed when a button is clicked in a group and make the group active or inactive as needed, or give the buttons an instance variable and check that when they are clicked, or put all buttons in a family, and when there are overlapping buttons use Pick Top to make sure only the button on top gets processed... etc.
EDIT3: ok, looked a little closer at your code, and I see you effectively do disable the other buttons by checking the popup background image y position...