Yep...best thing is to save emails to a web-based email...if you don't have one you can create a free one on yahoo or hotmail...
Make sure not to leave anything in SPAM too long as they are usually auto-deleted every so often...
See my H never threatened...he just vanished and left me hanging with the bills! So at least you have a heads up...maybe discuss with L what your plan will be if he does stop paying the bills before your court date.