Hello,
I can make the site you want, sort of. It would be using nodejs for a webserver, which means no wordpress (that is very alright). The site you require needs some custom programming, and it's not 105$ it's 1,200 per week and this is about a 2 week long project depending on how much extras etc you want put in. In general though I can design the site, logos, login, and some other basics for 105$ but that is only about 1 days worth of work and the site will not be very operational.