Michael,
I hope I can give you a lot of good information. I will leave it up to you to decide if you want to do it or not.
First the boat.
How are you going to get to the wreck and find it. You need a good loran or GPS with the coordinates for the wrecks. You also need a good depth finder, and not one that gives your depth in feet, you need a display of the bottom. Anchor.. your sand anchor will get hung up in the wreck, you need a wreck anchor (grapple hook with chain), If you decide to move I can point you in the right direction for that. You will need a way to get back on the boat. You little ladder on the swim platform will not work. Most dive boats have a Tee ladder that comes all the way up the transom. Forget what you learned in class about taking you dive gear off, and handing it up to some one on the boat. It does not work well off the Jersey Coast. Where and how will you store the gear when you are not diving? Don't forget firstaid kit O2, etc.
Now the diving.
You will need at least 4 people to do this safely, 2 on the boat and 2 in the water. At least one person on the boat that know how to run the boat and I mean RUN the boat. Not just start it and move around. If the divers come up off the anchor line, will this person be able to cut the anchor free and come pick you up? not sure, throw a clorox bottle in the water let drift away for a minute and have them go pick it up. They need to be able to put the stern of the boat within an arms lenght of the bottle!!!! Remember you are in the water in trouble, do you trust the person on the boat to be able to come to you?
Find the wreck, and drop your anchor on it. Make sure the anchor is caught on the wreck, the first 2 divers go in. They take a tennis ball with them. The captian, times when then start down and gives them 2 minutes and puts some slack in the anchor line. The divers tie the anchor line to the wreck. The last thing you want is to come back to the anchor line only to find it is not there. They then send the ball up and the captain shuts down the boat. They do thier dive and come backup the anchor line. The second set of divers go in, and they have a set amount of time, IE 30 minutes back to the anchor line. At 30 minutes, the captain starts the boat and puts slack in the anchor line. The divers undo the line. There are 2 ways to finish the dive from here. depending the skill of the divers, and the comfort level. The safe way, is to move the anchor out in the sand, and they come up the anchor line. When they are on the boat boat you pull the anchor the rest of the way. The other way, is toi send the anchor up on a lift bag, and they do a free ascent. If you are going to do that both the diver and the capatin had better know what they are doing.
My suggestion would be to spend a season or two diving off a chater boat, get some experince Jersey diving first, then try it on your boat. The learning curve is just to steep to start on your boat with no experince.
All this is just the tip of the iceberg.