Following on to what thetypewriterman says, by adding the bike inner tube, you have increased the diameter of the platen -- which means the typeslugs are going to be even more likely to puncture the paper. The typewriter was set up with a platen of a specific diameter, which should not be changed. A professional re-covering of the platen is needed. Or, try using a sheet of backing paper between the platen and the paper on which you are typing.

Regarding the ribbon for the Remington, is the ribbon old? If it is new, I am surprised that the slugs are putting holes in it. All the more reason for backing paper (or a newly re-covered platen).

For typewriters with really hard platens I use a sheet of mylar and then an additional backing sheet. I'm about to send thetypewriterman two platens to get fixed, one of them off a machine that currently requires the mylar and TWO additional backing sheets. It's an investment. The one he already got re-covered for me is a dream and a joy.

Without wanting to be advertising on the forum, I can answer this directly.  It usually costs £110 to re-rubber a platen, plus return postage to France of course !