I would not use a comma in any of these sentences. If I explain the rules first, it will be easier for you to understand how to use a comma.
Using commas accurately:
- To separate an introductory element.
- To separate small items in a list.
- To end a subordinate clause (dependent clause), but only if it comes before the independent clause.
- (Conjunctions such as: but, or, yet, for, and, nor, so) must all have a comma before them if they separate two independent clauses otherwise no comma.
- Use commas to encapsulate a conjunctive adverbs in mid sentence.
- Use a semicolon, conjunctive adverb and a comma if linking two independent clauses that are connected in thought.
Examples
Introductory element
In midsummer, me and my friends went to the park almost every day.
Separating small items in a list
I need the following from the shops: milk, sugar, tea, bread and chocolate.
Note, if the items are larger and or have 'and' within the items, use semicolons to separate the items.
Here is a list of things I bought from the supermarket: milk, sugar and tea for drinks; crisps, biscuits and chocolate for snacks; fish, potatoes and veg for dinner.
To end a subordinate clause
Although it was raining hard outside, she didn't get wet.
Note that the order of the clauses matter. For instance, if i swap the order, the comma is dropped.
She didn't get wet although it was raining hard outside.
Conjunctions
I went into town, but i didn't play football in the park.
Note that the above sentence has two independent clauses. 'I went into town' can stand alone as can 'I didn't play football in the park.'
Use commas to encapsulate a conjunctive adverb
It is a really sunny day today; I must stay in, however, and finish my assignment for School.
Semicolon, conjunctive adverb and a comma
It is a really sunny day today; however, I must stay in and finish my assignment for School.
In your examples, the commas are not needed since none of the rules apply.
The following sentences are grammatically incorrect. No comma is needed here since 'with' is not a conjunction it is a preposition.
Profits continue to grow, with strong performances in South America and the Far East. (Incorrect/no comma needed)
He was clothed in his photo, with a friendly smile. (Incorrect/no comma needed)
Bring the phone on the table. This is not a complete sentence because it doesn't have a subject; thus, doesn't make sense. To correct the grammar of this sentence, add a subject.
Bring the phone on the table to me.
Or
Bring me the phone on the table.
The trick to understanding commas is to understand how to build a sentence.
Bibliography:
https://www.bristol.ac.uk/arts/exercises/grammar/grammar_tutorial/page_27.htm
https://www.bristol.ac.uk/arts/exercises/grammar/grammar_tutorial/page_06.htm
https://youtu.be/oUG6WkEwKC4?t=386