SPRINGFIELD — Saying new owners hike rents to drive out longtime tenants, two Democrats filed bills to lift the state ban on rent control. However, one Republican lawmaker likened rent control to a Band-Aid slapped over a “festering wound.”Families within Rep. Will Guzzardi’s district, which includes the gentrifying Avondale, Logan Square and Portage Park neighborhoods, are being driven from their homes, he said, by landlords who regularly purchase buildings that already have tenants and then …