Some of your symptoms could be characteristic of depression. For instance, you described having a poor memory, wanting to be alone, having a loss of interest in life, all of which are signs of possible depression.
You also listed other symptoms which include difficulty expressing your feelings, disorganized thinking, difficulty with speech, and several others but you did not detail the way in which you are experiencing these symptoms. For instance, what do you mean by “difficulty with speech?” Are you making up new words? Are you nervous in front of new people? Did you struggle with a public speaking engagement? “Difficulty with speech” has many meanings but you didn’t describe what you meant by that expression.
I would need much more information to know whether or not you have schizophrenia or any mental health disorder.
To answer your question directly, yes, a psychiatric evaluation is warranted. Self-diagnosis can be inaccurate and is generally not recommended. It is always wise to be evaluated by a mental health professional to determine whether or not a psychiatric diagnosis is appropriate. Please consider writing back and letting me know how the evaluation goes. I think you will feel much better after meeting with a trained professional and receiving a more definitive answer. Please take care.