When my screen is locked, will running processes/internet connection be halted?

Solution 1:

My answer to your question is It should not.
As far as i have been using Ubuntu i have seen processes stopping only when it is told to do so (I use a rhythmbox plugin which stops playing msic when the screnn gets locked without that plugin the music goes on.). Also i do the same thing that you do i.e lock the screen and keep stuff for syncing, downloading etc but it has never happened that the process gets stopped.

Solution 2:

This is because the program terminates as the screen closes(the ubuntu way). You need to mention the services to go on by

screen your_program_name

you can close screen with crtl-a-d then reopen it later with screen -rx