First off, NEVER use your firing pin for anything other than it's intended use.
Once your bolt is removed, wrap it carefully in an old rag and position it in a vise.
You'll need a friend to help, IMO, but using a spent round (just the brass) insert the brass/round into the bolt and USE IT to compress the ejector.
Secondly, with ejector compressed, have friend tap the ejector capture pin toward the bottom of the bolt using the properly sized punch (IIRC 1/16"), note: it is NOT necessary to completely remove the pin, as the ejector and spring will come out with completely removing the capture pin, and reinstallation of ejector spring and ejector is easier with less chance of damage to the pin.
FWIW, unless your potty training your AR, (tuning the ejector spring to drop your ejected rounds in a more consistent/specific place for retrieval) or having some FTE problems it's not necessary to remove the ejector and spring for normal maintenence.
While it is true that alot of things on your AR15 can be adjusted by using the tip of a standard M193 round, NEVER use your firing pin as a tool, as this can lead to serious problems should you accidently reform the tip of it by mis-use.
Also, it's a good idea to never work on any of these items/parts, unless you have your Field Repair or Spare Parts kit handy if your seeking to modify an existing part (as mentioned above "potty-training" involves clipping a couple rounds off the ejector spring to facilitate a changed ejection pattern) it's always best to save the stock part and modify the similar part from your kit, that way you'll have the oringinal for replacement "JUST IN CASE" things don't work out as planned. Infact given the learning curve on dis-assembly it's wise to have replacement parts prior to the start of work, handy lest ya bend or damage an exiting spring or pin upon removal, shit happens don'tcha know.
Mike