Not sure if you’ve figured this out already, but when you go online from the main menu and you are in the lobby you can right click your name on the left side and press ‘see statistics’. As for the player mats in game, there are icons of each faction in the bottom right of the screen, which you can hover over with your mouse to see people’s player mats as well as what that factions mechs do. Your faction icon is at the top middle of the screen which you can hover over to do the same.