[CONVENTION: In my answer when I say Verb Phrase or in short VP, I mean a verb attached with an auxiliary verb (if any) along with its complements and modifiers.]
The word - so - as used in your question is a Pro-form. A pro-form, as you must know, substitutes a string of words or a single word. Not only that it can even substitute a whole clause or a phrase.
Generally in Verb Phrase structure the Pro-form - so - substitutes complements. Various word categories can form a complement. It can be a phrase (a Noun Phrase, an Adjective Phrase, an Adverb Phrase, a Preposition phrase etc), a finite clause or even a non-finite clause.
We are planning to visit Goa next month. [Marked in italics the complement here is a non-finite clause, a to-infinitive clause introduced by the subordinator to.]
I expect that everything is going to be alright soon. [Marked in italics the complement here is a finite clause, introduced by a subordinator that.]
I like him and she likes the way I get attention from the crowd. [Marked in italics the complements here are Noun Phrases.]
Please don't treat [him] [badly]. [Marked in italics. Here there are two complements, marked by third brackets. One complement is a Noun Phrase and the other complement is an adverb.]
We remain hopeful of your success. [Marked in italics the complement here is an adjective phrase.]
The Pro-form - so - can substitute complements formed by most of clauses and phrases.
Were they sad to see you? I think so. [so here substitutes a finite clause, introduced by the subordinator - that they were sad to see me.]
A large percentage of school-age students were overweight, or at the risk of becoming so. [so here substitutes an Adjective Phrase headed by an adjective - overweight.]
The two had become friends, the closest of friends, and remained so. [so here substitutes a Noun Phrase - the closest of friends.]
I can't ride that thing. Oh come on! You can so. [Here so substitutes a Verb Phrase (VP) - ride that thing. Notice that in this VP that so substitutes the auxiliary verb is not included. I believe this kind of substitution that so offers here is only limited to Spoken English or in Fictions where real-life speech is imitated. This is very colloquial. You are not going to find any other auxiliary verb to work with so, the way can so is used.]
It, however, can't substitute complements formed by some clauses or phrases. For example generally it can't substitute a to-infinitive complement or a Gerund-Participle clause as complement, or an Adverb Phrase as complement.
Are you moving to NY next year?
I'm considering so [INCORRECT]
Verbs whose complements can be substituted by so are -
Think, Guess, die, Look, Feel, Become etc.
N.B - The verb - like - is not among the verbs whose complement can be substituted by so. Yet you probably can find similar sentences and they are correct -
Then you add your tomato, like so.
like so here is a set expression, meaning in this manner.
All the quoted sentences with so in your question are correct, except the one with consider so.
