It would be more formal to add a greeting before "I hope all is well". It would be even more formal than that to introduce yourself after the greeting. It's more formal to write the names of people and products correctly, and "Skype" is the correct name of the product. You can't email somebody an account, but you can email them the name or ID of your account. The comma before "two" is incorrect. And it would be good to connect "I sent" with "my email" (the recipient will put two and two together. But formality means politeness, courtesy, and demonstrating excellence; so you might as well save them the trouble). The result of all that might be something like this: "Hello, my name is Farah and I wrote to you recently with my application. I hope all is well with you. I emailed you my telephone number and my Skype account ID two weeks ago (Friday May 5). I'm wondering whether you've had chance to read my email. "Many thanks, "Farah" PS. Of course, you'd remove the quotation marks. I only put them there so you can see where your email begins and ends.