You can draw unemployment and Social Security at the same time in all states (4 states will offset your unemployment by a portion of your SS benefits). All states have separate requirements, though, when it comes to pensions, 401k's, IRA's, etc. so you need to contact your own state regarding those non-SS type of retirement programs.
Probably not because retirement implies not seeking work and that is one of the requirements to be able to receive unemployment benefits.
You can draw from the various retirement plans and unemployment, but if you mean you're going to retire, that would violate the conditions of having to constantly seek full time employment and would make you ineligible.
If you mean "regular" retirement, then no. You have to be actively seeking full-time employment, among other requirements. If retired, you are considered out of the labor force. Now, if you mean Social Security as your "retirement", then yes, as long as you qualify for both programs.
Receipt of Medicare should not affect your UIB eligibility. However, receipt of SSA or other retirement benefits will affect your UIB.
What the max you can draw
yes
you can not draw unemployment in Texas if you are working full time
You can't draw unemployment if you are permanently retiring. To qualify for those benefits you have to be ready, able, willing, and actively seeking full time employment, which you don't do in retirement.
If you work in SC then you don't need to draw unemployment. You, umm, work.
You can draw both unemployment and Social Security in all 50 states.
In Kansas, you can not draw unemployment if your hours are cut from 40 hours to 32 hours. Unemployment can be drawn if your fired, not just for a cut in hours.
You cannot collect absolute retirement (meaning not returning to work) and unemployment benefits because the latter requires you to, among many things, continuously seek full time employment.