You can get a direct train to Hoboken during the week, then walk over to the HBLR. The 7:07 AM, the 7:34 AM and the 2:32 PM are direct via the waterfront conection. normal circumstances require two transfers, one at Long Branch and one at newark to path or SEC to Hoboken
You can take NJ Transit s North Jersey Coast Line from Asbury Park directly to Hoboken. Once in Hoboken, you have two options. You can either take the Hudson-Bergen Light Rail or the PATH train to Jersey City.The one way fare on NJT from Asbury Park to JC will cost you $12 ($24 round trip) and the fare on Hudson-Bergen LR will cost you $1.90 each way ($3.80 round trip). If you re taking the PATH, the fare is $1.75 each way ($3.50 round trip).I hope this information is very helpful.Good luck