I got my ears pierced in August and waited just over 2 months (longer than the 6 weeks I was told to wait) before changing them and putting new ones in for the first time which I did last Sunday. However, my new earrings were annoying me and kept catching my hair all the time so I decided to change them again yesterday.

I took my right earring out and it hurt a bit bit I didn't think anything of it and then I took my left earring out which didn't hurt at all and cleaned both ears. I then went to put my right earring back in but I could only get it through half way so I pushed quite hard a few times however it just wouldn't go through (as if the hole had closed at the back in a matter of minutes) but it was hurting me so I stopped. I then felt the back of both my ears where the piercing hole is and on my left ear I felt a small bump (which is normal as I felt it the first time I changed my earrings too), however on my right ear the bump is larger, red and a bit sore to touch/put pressure to.
I don't know if the larger bump was already there and that's why it hurt to take my earring out or if I caused it by pushing quite hard with my earring to try and get it through?

Should I just leave my hole to close up and heal and then get it pierced again or should I just try to re-pierce my hole fully by pushing my earring through with more force?
Though I don't want to cause the bump to pop or something, or to cause an infection?

I strongly suggest you have another female help you. Your aim might be off, so another person can see the hole and push a stud post through successfully, plus can also see what else is going on with your ears.

If things look okay, I'd put something in the holes and then do the alcohol/cleaning thing.