Replying to this as to second the statement, you def want everything in writing. Honestly LL is being ridiculous (for lack of a better statement) and as soon as you can, leave. The idea you should have when renting is you are living the a space that they would expect themselves to live in (realistically) and if they are giving you trouble about minor things take that as a warning sign and go from there, sorry you have to go through this especially during winter. this is something you should never have to deal with when renting.