R.I have a problem with correct usage of tenses in some cases as follows:
1. In some sentences (ex:- I am tired, I am busy, I am interested, I am late, He is born ) verbs are used with 'be' verb.
That's right. In each case you have Subject (I, he); verb (am, is); adjective.
Can't we write as I tired, I busy, I late, I interested, He born ? (In present simple form)
No, you need a verb.
But we don't write I am come, I am go, I am like, I am work. Why is that?
Because that would make two finite verbs together.
You need one verb in a sentence like that; not 0 and not 2.
Is there any grammatical rule to use a 'be' verb before a noun in any context? (except passive voice)
Are you sure you mean "noun"? The above are adjectives. Or, is this a separate question?
In spoken english I am (or 'get') confused with whether I include a 'be' verb (am,is,are,was were,will) or not. please help me to overcome this problem.
If you are describing something, and you have a subject (I), and a adjective description (tired, busy, late ...), you need a "to be" verb between them.
Student or Learner