Treat first page like the rest

Question

I am new to LaTeX, and I am having trouble with the first page since the first page is being treated differently from the rest. First custom headers and footers wouldn't apply to the first page, but I eventually fixed that. Now I have the following spacing issue:

I would like to have the same space before "Problem 1" that "Problem 2" has. In my example, the first page isn't a special page such as a ToC or anything. Being that I have already had issues with the first page, is there any way to signal to the compiler that the first page should get absolutely no special treatment so I do not have to worry about this issue again for something else? (Or perhaps creating a blank first page and then removing it from the final pdf file if that is possible)

Here is the code for the document if it helps:

\begin{document}

\setcounter{page}{1}
\stepcounter{Problem}
\section*{Problem \theProblem}
\*Removed*\

\newpage
\setcounter{page}{1}
\stepcounter{Problem}
\section*{Problem \theProblem}
...

I attempted to fix the problem by adding \null before \section*{Problem 1}, but this gave too much space, and I feel it would be unnatural and harder to maintain if I set the top margin by exact pixel values to line it up correctly.

Below I attached my formatting for the header.

\title{USAMTS Round 1}
\author{Nicholas Pipitone}
\date{September 2015}

\newcounter{Problem}
\newcounter{Pages}

\pagestyle{fancy}
\fancyhf{}
\fancyhead[CE,CO]{USA Mathematical Talent Search}
\rhead{Year: 27\\Round: 1\\Problem: \theProblem}
\lhead{Student: Nicholas Pipitone\\Username: npip99\\ID\#: 99999}
\rfoot{Page \thepage\ of \thePages}
\renewcommand{\headrulewidth}{1pt}
\renewcommand{\footrulewidth}{1pt}