On COBRA and Medicare (Part A only)

@dp8086 

You are fine since you are not eligible for Medicare yet.  However, your wife may not be - 

Sometimes, depending on what your COBRA coverage says:

If you have COBRA and you’re eligible for Medicare but not enrolled, COBRA may only pay for a small portion of the health care services you get, and you may have to pay most of the costs yourself. 

This may be true for your wife on those health coverage items that are covered by Medicare Part B - like doctor visits and a lot of other stuff.  Part A is the hospital insurance so for the everyday stuff it is Part B.

Also Medicare may not count her COBRA coverage as being a replacement for her Part B coverage, like your employer group coverage was when you were employed with your last employer, and they could assess her a late sign up premium penalty which will last forever.  

A lot of this is dependent on what your COBRA policy says about being eligible for Medicare and how it pays in that regards.

Medicare.gov - COBRA coverage 

If she is gonna go ahead and sign up for Part B and since she is already 69, she will need to get this form filled out by the employer holder of the plan(s) she has had continuous coverage under since age 65.

CMS.gov CMS-L564 Request for Employer Information 

If she finds that she doesn’t need it now she will later on when does want to sign up for Part B.  This proves she has had continuous coverage under an employer group plan since 65 - and will give her access to signing up for Part B without having to wait for a special enrollment period and perhaps have a lapse in coverage.  The form is pretty much self explanatory.

Good luck in your job search.