Hello LoriJean and welcome to the HP forums!
I understand you have some questions about the fax log on your printer, and I'd be happy to answer said questions :)
Would you be able to tell me which model HP printer it is that you have?
To my knowledge, most of the HP printers have a way to print the fax log, so that I believe I can assist you with, but for printing the 30 faxes prior to the 30 you see, that isn't possible. The memory can only hold so many, and 30 is that number for your fax.
Once I know which printer you have I will get back to you on how to print the log!