There is a continuing storyline, although your character is new each time. The games are best played in sequence, I think, although it isn't necessary.
Why not play Avadon 1 and then decide if you want to continue? There are annotated maps and patches for Avadon 1 not available for the later games.
I noticed that you are 15; I am 78 and relatively new to RPGs, and this one was the most fun for me.