Sounds like you may have the beginnings of something.
Wherever it is that you are rehearsing, there should be a drum kit and a PA. It's a major pain for a drummer to have to lug their kit for rehearal all the time. A PA is certainly not portable either.
At the music store where we started out, they had a drum kit and PA. At the rehearsal studio we are using now, it's the same situation. Actually, both places provide amps as well...and a full size keyboard and/or piano. The guitar players just have to being their guitars and the drummer brings their sticks and cymbals.
You should definitely have worked out songs to run through. I get frustrated with that too - I get bored of aimless jamming quickly, like after 5 minutes! I may be because I can't do it well, who knows. It just feels like we are wasting time...unless there is a particular point to the jam or it's clearly defined.
Good luck!!!