In a sincere effort to not confuse Blue Neon I'll answer this with the intense sincerity he seems to require. You may need a different puller. Best bet is to ask at the LBS, tell them what crank you have or let them take a look.
In theory both of the things you mentioned could make a BB squeak. I've never had a squeak caused by these though, my expierience with BB squeaks were caused by a loose fit on one bike and more commonly, a lack of grease on some old square tapers. I ride with an Ipod and let the shop service my bikes often so it's possible they've fixed noises I was never aware of.
I sincerely hope this helps you and in the spirit of touchy feely crap some members feel necessary, I want you to know I love you. You are a human being with special feelings and deserve a proper answer. I hope I have in some small way provided a little help. Best wishes this holiday season to you and yours.