I receive a normal income from my employer. I received a 1099 misc from my bank for $100 that they gave me when I opened an account. I am also expecting another 1099 for some tickets I won from a radio station valued at $160. Do I need to include these 1099 or can I leave them off my tax return?

You must incude them as income - any 1099's over $10 is reported to the IRS, and so their computers will catch you if you try to under-report your income.

Thanks, I thought this was the answer, but wanted to be sure.

Yes, you must include the income. It is other income on line 21 of Form 1040.