Do I need to schedule an appointment to apply for a new the passport ? How long will take to get a passport if I already have a travel ticket to Europe, for April 24 2019 ?

You Must schedule the appointment to get the expedited passport. They are very friendly, just go thru the line and wait your turn, they will help you out!

We made an appointment. You can do it through the website. We went in Aug 8th to get a expedited passport for my 7 year old daughter. Our trip was 12 days away (Aug 20th). Passport showed up priority USPS on Aug 14th. They have the ability to get you a passport even sooner. How soon you get your Passport depends on your travel needs. Just make sure you bring all the documents they ask for on their website and proof of your travel plans.