Ben, good evening.Dear Ben,

In formal emails, I would opt for a more formal way of addressing the receiving person in your email.

Tthank you for your email.

It is not necessary to start this line with a capital letter.

With regard to your earlier email, I would like tocan confirm that we indeed have the new emergency escape equipment.

According to the prompt, Ben did not ask for specific equipment. Therefore, I would leave out the article since you are informing Ben about emergency escape equipment in general.

I would appreciate it if you could let me know at your earliest convenience let me know what specific equipment you need.

Please don' not hesitate to contact me if you have any questions.

In formal writing, it is better not to use contractions.

Ben asks if you have any new safety equipment for emergency escapes from the oil platform.

Could also be "from an oil platform", but there needs to be an article. It's weird that your prompt has an error like this.

With regard to your earlier email, I would like tocan confirm that we indeed have the new emergency escape equipment.

What you originally wrote isn't wrong, but it's a bit ambiguous as to whether you are giving or receiving the equipment.

As you are aware, Safety World is Europe's largest manufacturer of oil safety equipment.

I would also like to inform you thatn fact, Safety World won the International Safety Award last year.

This sentence is closely related to the previous one. "I would also like to..." makes it sound like you're moving on to a new topic, while "In fact, ..." makes it clear that you're still on the same topic.

I would appreciate if you could at your earliest convenience let me know what specific equipment you need at your earliest convenience.

Your version isn't wrong, but this order is more common.

Best wishes.,

Peter Norman, the manager of Safety World.

You don't usually use articles for titles in email signatures.