[Gerlo]

Can you elaborate on what you mean by "everything that comes across the screen?" Does this include the outputs from your commands? If so, what do you use to do this?

[add-sub-mul-div]

I use SecureCRT which has a session logging feature: https://www.vandyke.com/products/securecrt/index.html

Yes, it includes both commands entered into the terminal and also all output or whatever gets put on the screen.