I lived and worked overseas all of last year as a carpenter. I did some contact work, but had no steady income. However since I received income overseas I filed and paid taxes in that country. Do I have to pay tax in the US as well, and what form should I be filing.

You MUST file U.S. tax return and report your worldwide income. On your contact income, you must pay SE tax at 15.3%.
If you paid taxes in the foreign country, you will claim credit for taxes paid in the foreign country by filing Form 1116 or can file form 2555 Foreign Earned Income Exclusion. Your U.S. Tax Return: U.S. Citizen or Resident with Foreign Income