The first order of business should be a budget that cuts spending and is passed as an omnibus bill. Make it stiff enough to have Obama veto it. Make him take responsibility for shutting down the government.
Do not fund Obamacare or any program that grants amnesty.
Do fund building the fence and deporting illegal aliens. Use violent / criminal illegal aliens to make compressed earth blocks manually and build the wall.
Then start the full on investigations of those around Obama. Impeach those that have broken laws (Holder). Do not waste time impeaching Obama. He is on his way out. Go after those that would try and run for office in 2016. Especially go after Senators and Representatives that obviously broke the laws and serve in states that now have Republican Governors.
It is not a waste of time to document his crimes for future generations to see how corrupt this administration really was.
If only the republicans had the guts...