That sounds like a bad idea.
Logo: ask someone on the internet for $10 (reddit)
Website: make a standard website for free
You don't need paraphenelia. At all. Not now, and probably never.
Credit Card: Why? Any real reason for it?
For promotion, simply have a starting period with good offers, so people will come. Be nice, clean and when needed, solve problems, then you get good reviews. With good reviews (and a good price, location, etc) your business will run well.
Sites like hostelworld, hostels, booking.com and other (airbnb, etc) are a LOT more important than your own website. You don't need a logo for that either. Just some good pictures.
I would say get a cheap DSLR camera with a fisheye lens, a good second hand one goes for less than $400 including some lenses! Make sure to put all your extras, like towels, soap, etc plus some flowers, etc in the pictures. Take lots of pictures of the social areas! Don't forget the extremely clean bathroom pictures!