Hi :) 

So I have a question, since the last jam, I'm working on a game based on the previous one I submit! 

I was thinking about using the template I have now but only writing a new story! Is this allowed? If not I totally understand!  

Of course you can! There are no rules regarding engines, programming languages, graphical or audio resources... or anything else. You just have to make a game in any way you like ;D