Your 5/8'' halyard would definitely handle that, so will your rig likely however this will not be a fun way of setting this anchor out. I would suggest finding a beach you can drive down on a low tide ditch the anchor and, as the tide is rising you tie your or someone else's boat to the anchor and let the tide do the work. just take it where you want it and cut the line. Please ignore the run-on sentence, its early.
Why do you have a 5/8 halyard on a 30 foot boat?