Syntax: The repeated structure 'I'm Mr. Lonely' uses a declarative sentence with a subject complement ('Mr. Lonely') to rename/describe the subject ('I'). 'I have nobody for my own' is a simple present tense statement indicating a current, ongoing state of possession (or lack thereof).
Morphology: 'Lonely' is an adjective. The suffix '-ly' often creates adverbs from adjectives, but here 'lonely' remains an adjective. 'Nobody' is an indefinite pronoun. 'My own' uses the possessive adjective 'my' and the pronoun 'own' for emphasis.

Syntax: 'I woke up' is simple past tense. 'I noticed' is also simple past, showing sequential past actions. 'Coulda sworn' is a contraction of 'could have sworn,' forming the past modal perfect, used for a past possibility or assumption. 'For her I was feenin'' uses inversion for poetic emphasis (standard order: 'I was feenin' for her').
Morphology: 'Woke' is the irregular past tense of 'wake.' 'Noticed' is the regular past tense of 'notice.' 'Dreaming' is the present participle/gerund form of 'dream.' 'Feenin'' is a slang verb form (from 'fiend') with the '-in'' suffix representing the present participle '-ing.'

Syntax: 'Can't believe' uses the modal 'can' + negative contraction + base verb to express present inability. 'I had' and 'I let' are simple past. 'You stuck around and stayed' uses the simple past for two consecutive actions. The clause 'after all I put you through' acts as an adverbial phrase modifying the main idea.
Morphology: 'Believe' is a base form verb. 'Had' is irregular past tense of 'have.' 'Let' is irregular past tense of 'let.' 'Put' is irregular past tense (same as base form). 'Stuck' is irregular past tense of 'stick.' 'Stayed' is regular past tense of 'stay.'

Syntax: 'Been all about the world' is a colloquial present perfect construction ('I have been'). 'Ain't never met' is a double negative common in informal speech/African American Vernacular English (AAVE), meaning 'have never met.' 'That could take' introduces a relative clause describing 'a girl.' 'Never thought' is simple past. 'Where you would get up and run' is a relative clause defining 'the day.'
Morphology: 'Been' is the past participle of 'be.' 'Met' is irregular past participle of 'meet.' 'Thought' is irregular past tense of 'think.' 'Would get' and 'would run' use the modal 'would' with base verbs for hypothetical/ future-in-the-past actions. 'Chasing' is the present participle of 'chase.'

Syntax: 'I just want you to call' uses the verb 'want' + object ('you') + infinitive ('to call'). 'Stop playing' is an imperative command. 'And come on home' is a coordinated imperative. 'I didn't mean to shout' uses simple past negative + infinitive to express unintended past action. 'I want me and you to work it out' uses a reflexive-like structure ('me and you') as the object of 'want,' followed by the infinitive phrase.
Morphology: 'Want' is base form. 'To call' is infinitive. 'Stop' is imperative/base form. 'Playing' is gerund/present participle. 'Come' is imperative/base form. 'Didn't mean' uses auxiliary 'did' + negative + base verb 'mean.' 'To shout' is infinitive. 'To work' is infinitive.