[CI][R]: Update our backwards compatibility CI any other R 4.4 cleanups

[jonkeane]

Describe the enhancement requested

I noticed some of our CI jobs like our backwards compatibility check haven't been updated for a number of versions — bumping those. I will also ensure we have R 4.4 in the right places.

Component(s)

Continuous Integration, R

[assignUser]

This now also contains a minimum version bump and related changes and I think it would make sense to add it too 16.1, so I am adding this as a blocker.

[jonkeane]

Issue resolved by pull request 41403
#41403