I can certainly feel your pain. I started this game early this year in about the same way. I stared at the rulebook and couldn't make a lot of sense of it either. I tried the Chapter K thing, but if you have no idea how the game is played at all, it leaves a bit to be desired.
The next thing I tried was the 8-Step programmed instruction that Jim mentioed. I found this to be the thing that got me going in a big way. Yeah, it's a bit of reading, but nothing like the whole rulebook and you only read what you need to get going and then a little more, etc.
If you have the starter kit, I would take a look at that first. I got ASLSK after doing the 8-step program, but it really helped me get the basics of how a scenario is played and the sequence of events. I only played a couple of scenarios and then went back to the 8-step stuff again.
Of course, use this forum and try out VASL if you get a chance. I have found a great community of players here and no lack of help and support.
Drop me a line if you want to try a rookie VASL thing.
Ken