Re: Queen problem?
Looking at those pics there is what seems to be eggs, but the pic quality is not good enough to be certain. However if the guy you bought it from saw eggs you should be fine, and if not, he will surely put it right. How long ago was it he saw the eggs?
I would not recommend attempting to requeen it without talking to him first.
Re the glasses, yes get some. Your beekeeping will be considerably hamstrung if you cannot see larvae, you need to know what is going on. My eyesight isn't the best either but I just use some cheapo magnifying glasses.
44 years, been commercial, outfits up to 4000 hives, now 120 hives and 200 nucs as a hobby, selling bees. T (mostly).