Shopping around figuratively, like for a boyfriend/girlfriend, job, etc., is the same as shopping around literally for consumer goods. You're not taking the first one you see, but instead you're comparing the characteristics of several before choosing.
I think what it means is that somebody has lost his or her mind
Neither is correct. The correct phrase is 'goes shopping' (no for no to) He goes shopping on a Monday.
The phrase from around means, for instance: go get the ball from around the corner. This is basically need to be in a sentence, not just the phrase as such.
Its when you go around town shopping
No. Shopping is a verb form, or a noun (gerund). It can form a participial phrase, but it cannot be a preposition.
To slew is to turn violently aside.
Yes
What does Fairer Du shopping' mean in French
Around the country is a prepositional phrase.
Exactly what you think -- "Shopping"
Industry the Means, Plenty the Result.
This means someone likes you, feels all soft and mushy around you.