Aloneness or sociability 

Solitary or Sociable? 

What do you prefer to do in your spare time? What makes you happy and satisfied? To often be solitary and isolated from people at home in order to relax: just diving into your thoughts, recalling pleasant memories in your mind, and trying to assess your life? Or are you one of those people who prefers to spend their free time in a cafe or at a noisy party: hanging out with some close friends, just chatting and having fun? Which type of person are you?

Aloneness  (You can say: 'someone is alone', but aloneness is not a word. Solitary is an adjective used when something is 'existing or doing something alone'.)

Sociability  (is a noun that is 'the quality/attribute of being sociable'. Sociable is the adjective form of this word that pairs better with the adjective solitary.)

?  (add a question mark ? to the end of the title because it is a question.)

"Friends and acquaintances" (repetitive because friend and acquaintance mean almost the same thing)

"(for some time)" (I do not know what you meant by this. 'often' means that this person would be doing a particular thing a lot. for example, someone who is 'often relaxing' relaxes frequently/a lot.) 

deepen in ('deepen' means to 'go farther into'. It is not common to use deepen in this way. 'Dive' is a verb that describes someone jumping into something like water: for example, an 'Olympic diver'. 'diving' is the continuous version of the word, and works better here. Deepening would be the continuous version of deepen. http://en.bab.la/conjugation/english/deepen) ('into' works better with the verbs 'diving' or 'deepening', because it means "to or toward the inside of" and expresses the movement of the verb. 

some (unnecessary)

head (mind: people's awareness, head/brain:the body part)

life (works better here)

which...are you (subject, verb, direct object)

Aloneness or sociability

Well written paragraph! I would say that I'm half and half. I like spending one day alone at home, but the next day I have to go out and doing something social or I start to feel restless, but if I spend too much time with people then I start to feel tired and crabby. It's a balancing act for me.

The only part of your paragraph that needs revising is the title. Those words aren't the ones you are looking for even though they kind of make sense, they're just a little awkward. I'd try something like:

Introverted or Extroverted {these are the characteristics you are describing so I think this would be your best choice of words}

Do you prefer being alone or being social?