Can you decipher the below rebus?

PBLUESAISNUERSES

Can you find the company name in the pictogram below?

It is always ahead of me yet I can never see it. What is it?

If six children and two dogs were under an umbrella, how come none of them got wet?

What type of tree can I carry in my hand?

Rumel, A detective who was mere days from cracking an international smuggling ring has suddenly gone missing. While inspecting his last-known location, you find a note:

710 57735 34 5508 51 7718

Currently, there are 3 suspects: Bill, John, and Todd. Can you break the detective's code and find the criminal's name?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

When I got four, I have it none.
When I got two, I have it some.
When I got none, I have it all.

What is it?

A California farmer owns a beautiful pear tree. He supplies the fruit to a nearby grocery store. The store owner calls the farmer to see how much fruit is available for him to buy. The farmer knows the main trunk has 24 branches. Each branch has exactly 12 boughs and each bough has exactly 6 twigs. Since each twig bears one piece of fruit, how many plums will the farmer be able to deliver?

From a pack of 52 cards, I placed 4 cards on the table.

I will give you 4 clues about the cards:

Clue 1: Card on left cannot be greater than the card on the right.
Clue 2: Difference between the 1st card and 3rd card is 8.
Clue 3: There is no card of an ace.
Clue 4: There are no face cards (queen, king, jacks).
Clue 5: Difference between the 2nd card and 4th card is 7.

Identify four cards?