For this year, you should not need to make estimated tax payments. Tax withheld from your paycheck (W-2) will be treated as having been paid evenly throughout the year. Your major liability would be if you do not have enough withheld to pay, in which case you could suffer an underpayment penalty. You can avoid this by meeting the Safe Harbor provision: ensuring that you have withheld at least 90% of the tax owed for this year, or 100% of the tax for last year. In some cases you can correct for low withholding by adjusting your W-4 at the end of the year to have significantly more taken from your paycheck - it may be worth checking your status in November and see if you think you may be underpaying. (Note that the rules are slightly different for high-income filers.) Avoiding the Underpayment Penalty for Quarterly Estimated Tax Payments
You may still need to make estimated payments if you have large amounts of other income (capital gains, for instance, or possibly residual 1099 income) that would increase your tax liability dramatically, but this is somewhat unusual.
For last year, you will very likely owe penalties and should work that out as soon as possible to minimize them. Note that you may not necessarily owe penalties if you fall into the Safe Harbor for last year, which would be based on your tax situation for the previous tax year. That is, if your wife's withholding is sufficient (and your 1099 income is low enough) then you may not have needed to make the estimated payments after all. Remember to account for the self-employment tax as well.