New Jersey and New York are both members of the Drivers License Compact so your home state of New Jersey will be informed by the NYS DMV of the ticket you received in NY for following too closely. As you mentioned in NYS this is a 4 point offense however in New Jersey the offense of tailgating is a 5 point offense.

As part of their information regarding their membership in the Driver's License Compact, the NJ Motor Vehicle Commission notes that only 2 points are assessed for out of state moving violations. The violation will also become part of your New Jersey driving record. This is for when you have a regular NJ driver's license; the rules may be different because of you holding a commercial license so check with the MVC to find out for certain how many points you will be assessed. Because you are a CDL holder you also have more federal and state rules to follow when you receive a conviction for a traffic violation.

The New Jersey Driver’s Manual for Commercial Drivers states that NJ has enacted provisions of the Federal Motor Carrier Safety Improvement Act (MCSIA). These provisions impact commercial driving privileges by adding new violations and increasing suspension terms for combinations of these violations within certain time frames. Most importantly, the major and serious violations committed while operating a personal / passenger vehicle will be included in the monitoring of MCSIA violation / suspension terms.

You will lose your CDL for at least 60 days if you have been convicted of two serious traffic violations involving a commercial motor vehicle within a three year period and for at least 120 days for three serious traffic violations within a three-year period. These violations include:

• Speeding conviction for 15 MPH or more above the posted speed limit
• Driving recklessly
• Making improper or erratic lane changes
• Following a vehicle too closely (tailgating)
• Violating State or Local law relating to motor vehicle traffic control arising in connection with a fatal accident
• Driving a CMV without obtaining a CDL
• Driving a CMV without a CDL in drivers possession
• Driving a CMV without the proper CDL class and/or endorsement

If you have other offenses, as those listed above, you may be facing a suspension of your driver's license it appears.

You should check with the New Jersey Motor Vehicle Commission (MVC) to find out for certain what penalties you will face for this out of state following too closely ticket since they are different for commercial drivers than a person with a normal passenger driver's license.