I've never run Steam in the "offline" mode. So I don't know, is there still a Steam Icon in the Windows Tool Bar? (lower right hand of the Windows Desktop by the time and date) That is where you would see the "little dots" when Steam is downloading something from the Workshop. But, being offline, I'm surprised you can even see the Workshop items. And you certainly couldn't install them.
That screen with the three trains is the Main Menu for TS2014. You should see several square "buttons" with Drive, Career, Collection, Engine Driver, Build and Shop. There is also Settings and Exit Game. If all you are seeing is the pics of the trains, then something is wrong, maybe with your graphics settings on your PC. Click on Drive, or any other "button", and another screen appears with more selections. (images of these pages are on Google Images, just search "TS2014 Main Menu screen)
As for Football Manager, if you can get to it in your Steam Library, right click and choose Properties> Updates tab> under Automatic Updates in the dropdown box (arrow) select "do not automatically update this game". Or like a lot of us here did before TS updated to 2013 or 2014, we copied the entire Railworks game folder to another location out of Steam. Create a shortcut from that separate .exe, and play the older version without the updates.
On the Settings page you can see all the keyboard key functions. Yes, I use keyboard/ mouse. Mouse also controls the levers in the F4 HUD at the bottom of your screen. This begs the question, have you even been able to drive a train yet?