Мне не хочется тащить тяжёлую коробку одной, помоги мне, пожалуйста.

Мне не хочется is a very common Russian way to say that you don’t feel like doing something.

• Я не хочу = I don’t want to
• Мне не хочется = I don’t feel like / I’m not in the mood to

Grammatically, хочется is used in an impersonal construction:

• мне = to me / for me (dative)
• не хочется = it is not wanted / I don’t feel like it

So the sentence sounds a bit softer and more natural in this context than a blunt я не хочу.

Because хочется often works with the person experiencing the feeling in the dative.

So:

• мне хочется = I feel like
• тебе хочется = you feel like
• ему хочется = he feels like

This is a standard Russian pattern for states and feelings:

• мне холодно = I’m cold
• мне грустно = I’m sad
• мне не хочется = I don’t feel like it

Even though English uses a subject like I, Russian often uses a dative experiencer here.

Хочется is the 3rd person singular reflexive form used impersonally.

In this pattern, Russian does not say literally I want. Instead, it uses something closer to:

• to me, it is wanting
• more naturally: I feel like it

That is why you get:

• мне хочется спать = I feel like sleeping / I’m sleepy
• мне не хочется идти = I don’t feel like going

So хочется is not agreeing with мне as a subject, because мне is not the grammatical subject.

Тащить means something like to drag / lug / haul. It suggests effort, heaviness, awkwardness, or inconvenience.

That fits well with тяжёлую коробку:

• тащить тяжёлую коробку = to lug a heavy box

By contrast:

• нести = to carry

You could say нести коробку, but тащить emphasizes that the box is heavy and unpleasant to move. It makes the complaint sound stronger and more vivid.

Because коробку is the direct object of тащить, so it takes the accusative case.

The noun is feminine singular:

• nominative: тяжёлая коробка
• accusative: тяжёлую коробку

The adjective has to match the noun in gender, number, and case:

• тяжёлую matches коробку

So:

• тащить тяжёлую коробку = to lug a heavy box

Here одной means alone / by myself, and it is in the instrumental case.

Russian often uses один in the instrumental to mean alone:

• masculine: один → одним / одному?
  • in this meaning, the common form is одному after some expressions, but with verbs you often see один / один? No—here the key phrase is the instrumental-style adverbial use: один/одна becomes один / одна? Actually in this sentence the standard form is одной for a female speaker.
• feminine: одна → одной

In this sentence, одной refers to the speaker:

• Мне не хочется ... одной = I don’t want to do it alone

If the speaker were male, it would be:

• Мне не хочется тащить тяжёлую коробку одному

It describes the person speaking, not the box.

So the meaning is:

• I don’t feel like lugging the heavy box by myself

It does not mean that the box is alone.

This can confuse learners because одной comes right after коробку, but semantically it belongs with the action:

• тащить ... одной = to carry/drag ... alone

Russian often places words this way, and context tells you what they modify.

Because of одной.

That form shows the speaker is feminine:

• female speaker: одной
• male speaker: одному in this kind of meaning

Everything else in the sentence could be said by either a man or a woman, but одной tells you the speaker is female.

Because хочется is commonly followed by an infinitive to say what someone feels like doing.

Pattern:

• мне хочется + infinitive
• мне не хочется + infinitive

Examples:

• Мне хочется спать. = I feel like sleeping / I want to sleep.
• Мне не хочется работать. = I don’t feel like working.
• Мне не хочется тащить тяжёлую коробку одной.

So тащить is simply the action the speaker does not feel like doing.

Помоги is the imperative form of помочь (to help).

• infinitive: помочь
• imperative singular: помоги
• imperative plural / polite: помогите

So:

• помоги мне, пожалуйста = help me, please
• помогите мне, пожалуйста = help me, please (to more than one person, or politely to one person)

This imperative comes from the perfective verb помочь, which is normal when asking for a single concrete act of help.

Because помоги asks for one specific completed action: help me with this box.

• помоги (from perfective помочь) = help me with this particular task
• помогай (from imperfective помогать) can sound like be helping / help regularly / go ahead and help

In this sentence, the speaker wants immediate help with one situation, so помоги is the natural choice.

The two instances of мне do different jobs.

1. Мне не хочется
   Here мне is the experiencer in a dative construction:
   I don’t feel like...

2. Помоги мне
   Here мне means help me; it marks the person receiving the help.

So even though it is the same word, its role is different in each part of the sentence.

Yes, that is possible if the meaning is obvious from context.

• Помоги мне, пожалуйста = explicitly help me
• Помоги, пожалуйста = please help, with me understood

Including мне makes the request clearer and slightly more explicit, especially in a sentence like this.

Because the sentence contains two parts:

1. Мне не хочется тащить тяжёлую коробку одной
2. помоги мне, пожалуйста

They are closely connected in meaning, but they are still separate clauses/parts of the utterance, so Russian uses a comma here.

You can think of it as:

• I don’t feel like lugging this heavy box by myself, so help me, please.

The so is not written, but the pause and connection are there.

No, Russian word order is fairly flexible, but this version is natural and neutral.

• Мне не хочется тащить тяжёлую коробку одной, помоги мне, пожалуйста.

Other orders are possible for emphasis, for example:

• Тяжёлую коробку мне не хочется тащить одной...
  emphasizes the heavy box
• Помоги мне, пожалуйста, мне не хочется тащить тяжёлую коробку одной.
  starts with the request

The original order sounds smooth and conversational.

Пожалуйста means please here and makes the request polite.

In requests, it is very flexible:

• Помоги мне, пожалуйста.
• Пожалуйста, помоги мне.
• Помоги, пожалуйста, мне. (possible, but less natural here)

The most natural choices are usually:

• Помоги мне, пожалуйста.
• Пожалуйста, помоги мне.

In your sentence, it softens the request nicely after the complaint.

Not in the same way.

• одной means alone / by myself
• самой can mean myself for emphasis, but it does not normally replace alone here

Compare:

• Мне не хочется тащить тяжёлую коробку одной. = I don’t want to carry the heavy box alone.
• Мне не хочется самой тащить тяжёлую коробку. = I don’t want to carry the heavy box myself.

The second version emphasizes that the speaker does not want to be the one doing it, while одной emphasizes lack of help.

It is informal, mainly because of помоги, which is singular informal imperative.

If speaking politely to one person or to several people, you would say:

• Мне не хочется тащить тяжёлую коробку одной, помогите мне, пожалуйста.

So the original sentence sounds like the speaker is talking to:

• a friend
• a family member
• someone addressed with ты