First, your employer has explained why there is no amount in box 2 for withholding however that does not explain the missing box 1 amount for wages paid, no matter how small, for the work you did in 2021. An amount that was apparently put in box 16 for state wages.
Next, if your gross income is below the standard deduction for your filing status then you generally do not have to file a tax return. However, the missing income is a factor in that. If that is your only income for 2021 then there is generally no filing requirement.
See below for filing requirements and refer to Publication 501 for more details:
Single Under age 65 $12,550
65 or older $14,250
head of household
under 65 $18,800
65 or older $20,500
married, filing jointly***under 65 (both spouses) $25,100
65 or older (one spouse) $26,450
65 or older (both spouses) $27,800
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