I tried putting some sae-30 oil on the teflon part of the bearing (the part that sits on the hole). Doing so, I wiped the metal part of the spindle with a Q-tip and it came back darkish... So I guess there were some tiny particles of dust all over the spindle as the grease is transparent. I also looked closely at the part of the bearing closer to the platter, and I saw some horizontal marks, as if sharper dust particles left very thin marks on the metal.
When I put the bearing in the hole again, there was a slight scratching sound when the the bearing came all the way through, so I guess it is because of those dust particles.
Putting the bearing again in the hole, there was still that rattling sound with the motor running, but strangely enough, once every two turns... weird.
I wiped the metal spindle again with Q-tips, and put some sae-30 on the metal. When I put it in the hole again, there was still the scratchy sound at the end, and with the motor running there was still the rattling sound every two rotations of the bearing.
Should I wipe thoroughly everything with alcool and make sur everything is 100% clean before putting grease again to make the sounds go away?