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.
well, you can collect: marbles coins rocks unusual liquid(in order to collect unusual liquids, take some small containors,and you can put any liquid you have never seen before!)
If you have 40 or more quarters that you have paid into Social Security--you are eligible for Medicare AND can collect a PORTION of your SS. There is an offset because of your teacher pension.