Hi Mallory,5 gallons is really small for a 2 inch Goldfish.As Blue mentioned,Goldfish should have at least 10 gals. per fish,along with a very good filtration system as they really are messy.
With it only being a 5 gal. with no filter,you should be doing water changes a couple times a week-not once a month.His water is very toxic at this point I'm sure.
For now,I would do a 25-50% water change,and then invest in at least a test kit so that you can keep an eye on his params.If you can't do that right now,then as Blue said,your LFS will test it for you.
How long have you had this goldfish?
Are you able to post a pic of this bump?