Do I need to file tax if I work part time and earn very little?

that depends on the income
if this is something you got a W-2 reporting the amount, it also reported the amount of income tax that was withheld and you would want to file a tax return to get that refunded to you since you likely incur no income tax on the small amount you mention
now if this is self employment income, yes it is likely you do have to report it on Sch C and possibly if the net amount is more than $400, the se tax you will pay

you will not owe any tax on 2016 income until april 2017. so do not sweat it. check irs.gov for the limitations

If that's your ONLY income for the year, no. If any income tax was withheld, you should. But 2016 income tax returns cannot be filed until NEXT year.

If you received a w-2, no. If you got a 1099-Misc, yes.

you might need that infor for FAFSA next year

You are not obligated to file.

If $400 or more was working as an independent contractor or in self-employment, or a combination of the two, then yes.

If all of it was working as an employee, then no.

no

Visit IRS GOV or libraries for books on how to file ur taxes.
Ask local informed educated adults for actual info locally as it varies greatly.
For 500$ u under the starting point for tax returns