The word "ones" can be plural, as in "I like the red ones best." You could even say, "I like these red ones." But "I like these ones" is redundant and incorrect. You should just say, "I like these."

The situation is the same with "those":

* Redundant: He likes those ones.
* Better: He likes those.

The phrases "this one" and "that one" don't seem to bother linguists, but it doesn't hurt to take a second look when you use the phrases to make sure you aren't being unnecessarily wordy.