Yes, while your license is suspended you will not be legally allowed to drive in New Jersey or any other state. When your driver's license is suspended in the state in which issued you the license then that suspension normally follows you wherever you drive. So you would not be able to drive in NJ or Pennsylvania for the 30 days of your license suspension.

If you move to PA during the suspension period you will not be able to obtain a PA driver's license since your out of state license to turn in is not valid. The Pennsylvania DOT Driver and Vehicle Services may allow you to apply for a PA license but will likely require you to get your NJ license reinstated before they will process your application.

When your license is suspended it should be noted in the National Driver Register (NDR) which the PA DMV would see when you go in for a license.

Upon conviction of driving with a suspended license for the first time in NJ comes with a penalty $500. You will also be surcharged a mandatory of $250 per year for 3 years by the DMV. Additionally, the NJ statute states upon the conviction the court shall impose or extend a period of suspension not to exceed 6 months.

For New Jersey or Pennsylvania auto insurance rates follow this link.