Let’s take these one at a time. Since you will retire under the deferred option, you will not be eligible to continue FEHB nor will you get credit for your sick leave when your retirement commences at your MRA and there is no FERS Retiree Annuity Supplement payable on deferred annuities. Basically, you are eligible for money in the future based on work in the past. Everything is calculated as of the date you left federal service, meaning your retirement will be based on 34 years of service and your high-3 average salary as of the date your resigned.
For your wife, if she retires at her MRA with 22 years of service she can collect an immediate annuity, however, it will be reduced 5% for every full year or 5/12 of 1% for every full month she is under the age of 62. This is an age penalty for life. OR she can elect to postpone this retirement it until age 60, at which time she can collect with no age penalty. However, there would be no income for just under 4 years. You would need to change your FEHB coverage to her name prior to both of you leaving federal service. If you change the FEHB to her name, she will have met the 5-year rule even though she was previously covered under your policy. The reason she would have to change it to her name is because as stated in the previous paragraph, you will not be eligible to continue FEHB into retirement because you are leaving prior to your MRA and will be retiring under the deferred option. Your wife’s pension would include her unused sick leave as technically she is retiring under an immediate annuity, even if she elects to postpone it. However, no FERS Retiree Annuity Supplement is payable with the MRA+10 retirement option.
Now everything changes if a VERA is offered as both of you could retire on an immediate unreduced retirement. You would not need to change the FEHB into her name, both would collect the FERS Retiree Annuity Supplement, but yours would not commence until you reached your MRA, and both receive credit for their unused sick leave in the computation of the annuity.
With respect to TSP, any regular employee retiring in the year they are age 55 or older is eligible to draw against their TSP in any payout option without the age penalty. Your wife will be eligible to collect against her TSP right away but you will be limited to your options unless you wait until age 59 ½ to collect against yours. This applies in no matter whether it is an immediate, deferred, postponed, or VERA retirement.