In New Jersey, the state Senate Law and Public Safety Committee approved a measure this month that would increase fines for handheld cellphone use, including texting, from $100 to $200 for the first offense. Offenders could have their driver’s license suspended for 90 days for the third and ensuing violations. The bill will next be heard by the Senate Budget Committee. Elsewhere: >> The California Senate approved a bill in May that would cost drivers caught texting or talking without a hands-free device $30 for a first offense — a $10 increase — and $60 for a subsequent offense, up from $50. The bill goes next to the Assembly. >> Connecticut last year increased fines for using handheld cellphones and text messaging while driving, from the previous $100 to $125 for the first offense, $150 to $250 for the second, and $200 to $400 for the third and subsequent violations.