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4.The ability to receive television signals and programs.

In the US these days almost all television (2) is distributed by cable or satellite services. If you are not a subscriber to one of these services you may still receive over-the-air broadcasts; but that is in many locations a very inferior signal, and in any case does not include a very large proportion of available programming.

In effect, you "haven't got television", just as if you don't pay a service provider you "haven't got internet".

I'm not saying that that's what your first sentence means; it may in fact be an error for a television (1); but it's a possible interpretation.

Originally, the verb "to go" meant "to walk", but it has come to mean a number of things in addition to walking.

I go to the store frequently does not necessarily mean that you walk there. You could drive there too.

I go to school can mean that you are a student.

I went home would mean only that you left and made your way back home by some means. One could not infer that you walked.

So, in situations where you want to refer specifically to walking, in order to make perfectly clear that you mean "walk", the word "walk" is simply clearer, not more natural, than "go".

How did you get home? Did you take a taxi? I walked. ("I went" would be unnatural.)

DIRECTOR TO ACTOR: when she looks up, you go to her and put your arms around her.

Perfectly natural use of "go" to mean "walk over to".

DIRECTOR TO ACTOR: What did you do when she looked up? ACTOR: I went over to her.

Natural too.