Please listen to electure's advice, he is a well respected and knowlegable member here.
Do it today, now, immediately!
None of the problems you describe should be happening and a burning smell is never good unless you are a fan of the Grateful Dead.
If you can not convince your landlord to do something get the fire department involved.
I find these guys are quite helpful, call them on the business number and ask to speak to a chief. Explain what is going on, most times they will be more than willing to help.
Another person to call is your electrical inspector, or call the power company back and explain it to them.
It is up to you how to proceed but please do something today!
[This message has been edited by iwire (edited 12-18-2004).]
Construction & Maintenance Electrician