Problems with common lead bad connection at meter
CALL YOUR ELECTRIC UTILITY NOW ON THEIR EMERGENCY NUMBER

You have a bona fide electrical emergency right now due to that failing neutral, and since it's in the meter pan, it's the utility's job to fix.  Call them up on their emergency number (same number that you'd use to report a power outage) and tell them that the neutral in your meter pan is failing as well as giving your address.  Until then, keep loads to an absolute bare minimum as the voltage at your outlets is going to be all over the map.